The third term of a geometric progression is 128 and the seventh term is 40.5. Find the fifth term and the sum to infinity.

T 5 = 72 ; S ∞ = 910.22 T_5=72;\ S_{\infty}=910.22 T 5 = 7 2 ; S ∞ = 9 1 0 . 2 2

T 5 = − 72 ; S ∞ = 910.22 T_5=-72;\ S_{\infty}=910.22 T 5 = − 7 2 ; S ∞ = 9 1 0 . 2 2

T 5 = 72 ; S ∞ = − 910.22 T_5=72;\ S_{\infty}=-910.22 T 5 = 7 2 ; S ∞ = − 9 1 0 . 2 2

T 5 = − 72 ; S ∞ = − 910.22 T_5=-72;\ S_{\infty}=-910.22 T 5 = − 7 2 ; S ∞ = − 9 1 0 . 2 2

Find the fifth term of the geometric sequence with a first term of 8 and a sum to infinity of 12.

T 5 = 8 81 T_5=\frac{8}{81} T 5 = 8 1 8

T 5 = 8 80 T_5=\frac{8}{80} T 5 = 8 0 8

T 5 = − 8 81 T_5=-\frac{8}{81} T 5 = − 8 1 8

T 5 = − 8 80 T_5=-\frac{8}{80} T 5 = − 8 0 8

The first three terms of a geometric sequence are 2 , 2 , 8 \sqrt{2},2,\sqrt{8} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 2 , 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . Find the common ratio, r, and the sixth term of the sequence.

r = 2 ; T 6 = 8 r=\sqrt{2};\ T_6=8 r = 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; T 6 = 8

r = − 2 ; T 6 = 8 r=-\sqrt{2};\ T_6=8 r = − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; T 6 = 8

r = 2 ; T 6 = − 8 r=\sqrt{2};\ T_6=-8 r = 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; T 6 = − 8

r = − 2 ; T 6 = − 8 r=-\sqrt{2};\ T_6=-8 r = − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; T 6 = − 8

3.1 Sequences and Series

Authored by CIK Moe

Mathematics

12th Grade

CCSS covered

Used 12+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the 12th term of the arithmetic sequences 5, 11, 17, 23,..

-71

-70

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the 15th term of the arithmetic sequences -3, -8, -13,..

-70

-73

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the 7th term of the arithmetic progressions $\frac{2}{3},\frac{6}{5},\frac{26}{15},...$

-58/15

-50/15

58/15

50/15

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the sum of the first 9 terms of arithmetic progressions 21, 15, 9,...

-27

-20

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the sum of the first 18 terms of arithmetic progressions -8, 0, 8,...

-1080

-1800

1800

1080

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the sum of the arithmetic progressions 7, 9, 11,...,79. (Hint: find Tn first)

1591

-1591

-1590

1590

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Find the sum of the arithmetic progressions 0.05, 0.15, 0.25, ..., 4.05. (Hint: find Tn first)

-84

-84.05

84.05

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

ÔN TẬP GIỮA KỲ II - TOÁN 6

Quiz

•

9th - 12th Grade

20 questions

Soal PTS 1 MTK Kelas 5

Quiz

•

12th Grade

15 questions

مراجعة الفصل الأول

Quiz

•

12th Grade

20 questions

More Ordering Fractions Decimals Percents Greatest to Least

Quiz

•

6th Grade - University

19 questions

PRUEBA FINAL MATE IV BIMESTRE NOVENO

Quiz

•

9th - 12th Grade

15 questions

4年级数学练习3 （分数加减）

Quiz

•

1st - 12th Grade

18 questions

Funciones Trigonometricas

Quiz

•

12th Grade

20 questions

Réduction d'expressions littérales

Quiz

•

7th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

13 questions

SMS Cafeteria Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

SMS Restroom Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

Discover more resources for Mathematics

15 questions

Pi Day Trivia

Quiz

•

9th - 12th Grade

25 questions

PI Day Trivia Contest

Quiz

•

9th - 12th Grade

20 questions

Pi Day

Quiz

•

6th - 12th Grade

20 questions

Solve Polynomials and Factoring Problems

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

37 questions

A.7C - Quadratic Transformations

Quiz

•

9th - 12th Grade

19 questions

DCA review - Exponent Rules

Quiz

•

9th - 12th Grade

20 questions

Dilations

Quiz

•

9th - 12th Grade

3.1 Sequences and Series

Find the 12th term of the arithmetic sequences 5, 11, 17, 23,..

Find the 15th term of the arithmetic sequences -3, -8, -13,..

Find the 7th term of the arithmetic progressions $\frac{2}{3},\frac{6}{5},\frac{26}{15},...$

Find the sum of the first 9 terms of arithmetic progressions 21, 15, 9,...

Find the sum of the first 18 terms of arithmetic progressions -8, 0, 8,...

Find the sum of the arithmetic progressions 7, 9, 11,...,79. (Hint: find Tn first)

Find the sum of the arithmetic progressions 0.05, 0.15, 0.25, ..., 4.05. (Hint: find Tn first)

In an arithmetic sequence, the fifth term is 34 and the tenth term is 43. Find the sum of the first 20 terms of the sequence.

The first three terms of an arithmetic sequence are m, 2m+n, 3m+2n,... Find the tenth term in terms of m and n.

The third term of an arithmetic sequence is 12 and the sum of the first eight terms is 168. Find the 14th term.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

3.1 Sequences and Series

Find the 12th term of the arithmetic sequences 5, 11, 17, 23,..

Find the 15th term of the arithmetic sequences -3, -8, -13,..

Find the 7th term of the arithmetic progressions 23,65,2615,...\frac{2}{3},\frac{6}{5},\frac{26}{15},...32​,56​,1526​,...

Find the sum of the first 9 terms of arithmetic progressions 21, 15, 9,...

Find the sum of the first 18 terms of arithmetic progressions -8, 0, 8,...

Find the sum of the arithmetic progressions 7, 9, 11,...,79. (Hint: find Tn first)

Find the sum of the arithmetic progressions 0.05, 0.15, 0.25, ..., 4.05. (Hint: find Tn first)

In an arithmetic sequence, the fifth term is 34 and the tenth term is 43. Find the sum of the first 20 terms of the sequence.

The first three terms of an arithmetic sequence are m, 2m+n, 3m+2n,... Find the tenth term in terms of m and n.

The third term of an arithmetic sequence is 12 and the sum of the first eight terms is 168. Find the 14th term.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the 7th term of the arithmetic progressions $\frac{2}{3},\frac{6}{5},\frac{26}{15},...$