Unit 12 Review - Sequences and Series

Which sequence is arithmetic?

• 4, 8, 16, 32, 64, ...
• 4, 6, 10, 12, 16, ...
• 4, 1, -2, -5, -8, ...
• 4, 2, 1, 1/2, 1/4, ...

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

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

Find S_n for the given series:
a₁=22
d=-8
n=21

• 1911
• -1449
• -2436
• -1218

What is the sum of the first 10 terms for the following geometric series:
2 - 6 + 18 - 54 + ...

• 59048
• -29524
• 524288
• 3069

Find the sum for the following series. 

• 44
• -162
• -682
• 324

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

• a_n = (3)^n-1 ; a₁ =5
• a_n = (5)^n-1 ; a₁ =3
• a_n = a_n-1+3 ; a₁ =5
• a_n = a_n-1+5 ; a₁ =3

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

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

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -3n+19

• a_n = -5n+13

• a_n = 3n+13

• a_n = -5n+20

When the lemon tree near my house was first planted (year 0), it measured 16 inches tall. Each year after that, the height seemed to match an arithmetic sequence, by growing 3 inches per year. 
How many inches would we expect it to be when n= 40 years from when it was planted?

• 145 inches
• 142 inches
• 139 inches
• 133 inches