Sequences and series

Which one is an example of an arithmetic sequence?

• 2, 4, 6, 8 12, 14

• 1, 2, 3, 4, 5, 6

• 1, 4, 9, 16, 25

• 1, 3, 9, 27, 81

The 1st term of a geometric sequence is 3 and the eighth term is 384. Find the common ratio of the sequence

Write an equation for the nth term of this arithmetic sequence:

19, 31, 43, 55, ...

Tags

CCSS.MATH.CONTENT.HSF.BF.A.2

Find the common difference.

• A

• B

• C

• D

In the pattern: 4, 7, 10, 13, 16,... which expressions would represent the pattern with 4 as our 1st term?

• 1 + 3x

• 3x

• 3x + 1

• 3x + 4

What kind of sequence?

400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

Given the sequence 4, 11, 18, 25...... what is T₃ ?

• 4

• 11

• 18

• 25

Write the formula for the following sequence.

5, 8, 11, 14, ...

• $a_n=3\left(n-1\right)+5$

• $a_n=3n+5$

• $a_n=5\cdot3^{\left(n-1\right)}$

• $a_n=5\left(n-1\right)+3$

Find the 32nd term of this sequence. 9, 4, -1, -6, -11, ...

(Hint: Write your equation for the nth term first!)

• 81

• -34

• -146

• -225

Write the general term for the sequence.

• $a_n=4n+7$

• $a_n=4n-1$

• $a_n=4n-4$

• $a_n=4n+1$