Find a formula for an for the arithmetic sequence. a 3 = 11 , a 8 = 21 a_3=11,\ a_8=21 a 3 = 1 1 , a 8 = 2 1

a n = 5 + 2 n a_n=5+2n a n = 5 + 2 n

a n = 7 + 2 n a_n=7+2n a n = 7 + 2 n

a n = − 5 + 7 n a_n=-5+7n a n = − 5 + 7 n

a n = 2 + 7 n a_n=2+7n a n = 2 + 7 n

Find a formula for the nth term of the following geometric sequence. Then find the 7th term of the sequence. 3, 9, 27, ...

a n = 3 ( 3 ) n − 1 ; a 7 = 2187 a_n=3\left(3\right)^{n-1}\ ;\ \ \ a_7=2187 a n = 3 ( 3 ) n − 1 ; a 7 = 2 1 8 7

a n = 3 ( 3 ) n ; a 7 = 2187 a_n=3\left(3\right)^n;\ \ a_7=2187 a n = 3 ( 3 ) n ; a 7 = 2 1 8 7

a n = 3 ( 3 ) n ; a 7 = 6561 a_n=3\left(3\right)^n;\ \ a_7=6561 a n = 3 ( 3 ) n ; a 7 = 6 5 6 1

a n = 3 ( 3 ) n − 1 ; a 7 = 6561 a_n=3\left(3\right)^{n-1};\ \ a_7=6561 a n = 3 ( 3 ) n − 1 ; a 7 = 6 5 6 1

Given the following two terms of a geometric sequence, write the explicit formula. a 4 = 80 ; a 7 = 640 a_4=80;\ \ a_7=640 a 4 = 8 0 ; a 7 = 6 4 0

t ( n ) = 5 ( 2 ) n t\left(n\right)=5\left(2\right)^n t ( n ) = 5 ( 2 ) n

t ( n ) = 2 ( 5 ) n t\left(n\right)=2\left(5\right)^n t ( n ) = 2 ( 5 ) n

t ( n ) = 2 ( 10 ) n t\left(n\right)=2\left(10\right)^n t ( n ) = 2 ( 1 0 ) n

t ( n ) = 10 ( 2 ) n t\left(n\right)=10\left(2\right)^n t ( n ) = 1 0 ( 2 ) n

Find the sum of the infinite geometric series. ∑ n = 0 ∞ 4 ( − 3 4 ) n \sum_{n=0}^{\infty}4\left(-\frac{3}{4}\right)^n n = 0 ∑ ∞ 4 ( − 4 3 ) n

− 16 7 -\frac{16}{7} − 7 1 6

Find the sum of the following infinite geometric series. − 9 + 8 − 64 9 + 512 81 − . . . . -9+8-\frac{64}{9}+\frac{512}{81}-.... − 9 + 8 − 9 6 4 + 8 1 5 1 2 − . . . .

− 81 17 -\frac{81}{17} − 1 7 8 1

− 17 81 -\frac{17}{81} − 8 1 1 7

− 1 81 -\frac{1}{81} − 8 1 1

Arithemetic and Geometric Sequences and Series Quiz

24 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?

arithmetic (common difference d = 5)

geometric (common ratio r = 5)

neither

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$a_n=7+2n$

$a_n=-5+7n$

$a_n=2+7n$

$a_n=5+2n$

Tags

CCSS.HSF.BF.A.2

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Arithemetic and Geometric Sequences and Series

-21, -16, -11, -6, ...Is this sequence arithmetic, geometric, or neither?

Is the sequence geometric or arithmetic?6, 18, 54...

Write the rule for the nth term of the sequence. -7, -4, -1, 2...

Find a formula for an for the arithmetic sequence. a1 = –1, d = –7

Find the 25th term of the sequence if a1 = 5 and d = 0.5

Find the 22nd term of the following sequence:5, 8, 11, ...

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

The first two terms of an arithmetic sequence are given. Find the indicated term. a1=6, a2=13, a10=a_1=6,\ \ a_2=13,\ \ a_{10}=a1​=6, a2​=13, a10​=

Find a formula for an for the arithmetic sequence. a3=11, a8=21a_3=11,\ a_8=21a3​=11, a8​=21

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

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-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?

Is the sequence geometric or arithmetic?
6, 18, 54...

Write the rule for the nth term of the sequence.
-7, -4, -1, 2...

Find a formula for a_n for the arithmetic sequence.
a₁ = –1, d = –7

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Find the 22nd term of the following sequence:
5, 8, 11, ...

The first two terms of an arithmetic sequence are given. Find the indicated term.

$a_1=6,\ \ a_2=13,\ \ a_{10}=$

Find a formula for an for the arithmetic sequence.
$a_3=11,\ a_8=21$