Question

What is the seventh term in the addition pattern that begins 17, 32, 47, 62?

A) 107

B) 117

C) 122

D) 137

Answer 1

Answer:

A

Step-by-step explanation:

There is a common difference d between consecutive terms of the sequence, that is

d = 32 - 17 = 47 - 32 = 62 - 47 = 15

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = 15, thus

$a_{7}$ = 17 + (6 × 15) = 17 + 90 = 107 → A