Question

Select the expression in terms of n

Answer 1

Answer:

2n - 11

Step-by-step explanation:

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

d = - 7 - (- 9) = - 5 - (- 7) = - 7 + 9 = - 5 + 7 = 2

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 = - 9 and d = 2, thus

$a_{n}$ = - 9 + 2(n - 1) = - 9 + 2n - 2 = 2n - 11