Sequences and Series Arithmetic and Geometric

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

• 6

• 7

• 3

• 2

Calculate the final sum/total of the series.

• 6
• 21
• 9
• 2

• 196
• 392
• 49
• 254

• 149
• 11,200
• 5,600
• 140

Evaluate S_n:

28 + 35 + 42 + 49 + ..., n = 10

(Hint: is this arithmetic or geometric?)

• 2384

• 595

• 1192

• 1190

Evaluate S₈:

2 + 6 + 10 + 14 + ...

• 128

• 494

• 256

• 255

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

• 1,600
• 18,235
• 18,475
• 19,125

Evaluate S₁₂ for the arithmetic series where:

a₁=?, a₁₂=48, and d=4

• 310

• 312

• 620

• 624