Question

Write the explicit

rule for the nth term.
Then find the 112th term.
{15, 5, -5, -15...}

Answer 1

Explanation:

{ 15, 5, -5, -15...}

the rule is

`a_(1) = 15, a_(n) = a_(n-1) -10`

the 112th term

`a_(112) = a_(1) + (n-1) *d\\\\a_(112) = 15 + (112 -1) * (-10)\\\\a_(112) = 15 - 1110\\\\a_(112) = -1095`

Answer 2

I believe the answer is 121.

Explanation:

Formula: (a)n = a + (n - 1)d

(a)n = nth Term of the Sequence

a = First Term in the Sequence

d = Common Difference

112th = 15 + (112 - 1)-5

112th = 15 + 111 - 5

112th = 121