Sequences & Series

Given the geometric sequence 2, -4, 8, -16,... find S₅.

• 22

• 2/3

• 18

• 21

Find S₅ of the geometric sequence 4/3, 8/3, 16/3, ...

• 124/3

• 41

• 42

• 125/3

Find the sum of the arithmetic series using a formula.

• 516, 240

• 516,242

• 116, 242

• 506, 242

Find the sum of the first 42 terms of an arithmetic series if whose terms are defined by the equation a_n=10-5n

• -4090

• -3895

• -4095

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

• 14
• 68
• 63
• 71

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

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

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

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