Question

Determine the value of the 61st term in the sequence -7, -3 1, 5, 9

Answer 1

a₆₁ = 233

Explanation:

there is a common difference between consecutive terms in the sequence

- 3 - (- 7) = 1 - (- 3) = 5 - 1 = 9 - 5 = 4

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 7 and d = 4 , then

a₆₁ = - 7 + (60 × 4) = - 7 + 240 = 233