Arithmetic and Geometric Sequences Practice

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Calculate the final sum/total of the series.

• 6

• 21

• 9

• 2

• 196
• 392
• 49
• 254

Given a₁ = 3 and a₆= 13, what is the common difference?

• 2

• 3

• 10

• 1

Evaluate each series described (n is the number of terms in the series):
28 + 35 + 42 + 49 + ..., n = 10

• 2384

• 595

• 1192

• 1190

Evaluate each series described (n is the number of terms in the series):
2 + 6 + 10 + 14 + ..., n = 8

• 128

• 494

• 256

• 255

Please find the common difference

7, 74, 141, 208, 275,...

What is the common difference?

24, 17, 10,...

Find the common difference:

113, 85, 57, 29,...

What is the next term in the sequence?