Sequences and Sums of Sequences

Identify the common difference.

97, 86, 75, 64, ...

• 8

• 11

• −11

• −8

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes
• No

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81
• 79, 88, 97
• 70, 79, 88
• 61, 70, 79

Tags

CCSS.HSF.BF.A.2

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Tags

CCSS.HSF.BF.A.2

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: −15, −35, −55, −75, ...

• −515

• −490

• −535

• −460

Write the recursive formula for 4, 8, 12....

• a_n = a_n−1 − 7

• a_n = a_n−1 − 4

• a_n = a_n−1 + 3

• a_n = a_n−1 + 4

Given the recursive formula, find the first four terms:

a_n = a_n−1 + 5

a₁ = −16

• −16, −21, −26, −31

• 5, −11, −27, −43

• −16, −80, −500, −200

• −16, −11, −6, −1

Find the sum

24 + 48 + 72 +...+ 480

• 5280

• 9576

• 10080

• 5040

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

• 160, 175, 190
• 165, 185, 195
• 155, 165, 175
• 190, 175, 160