Question

1. Here are the first 5 terms of an arithmetic sequence.

Answer 1

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 9 - 2 = 7, thus

(a)

$a_{n}$ = 2 + 7(n - 1) = 2 + 7n - 7 = 7n - 5

(b)

Using the n th term formula, then

$a_{15}$ = 7(15) - 5 = 105 - 5 = 100