Question

Give the explicit form

Answer 1

100 = 100n - 112

Explanation:

Answer 2

`a_(n)` = 100n - 112

Explanation:

Given the recursive formula

`a_(n)` =
`a_(n-1)` + 100 with a₁ = - 12

This tells us that any term is found by adding 100 to the previous term

That is common difference d = 100 and a₁ = - 12

The explicit formula for an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d , thus

`a_(n)` = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112