Question

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

Answer 1

Answer:

I believe the answer is 121.

Step-by-step 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

Answer 2

Answer:

Step-by-step explanation:

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

the rule is

$a_{1} = 15, a_{n} = a_{n-1} -10$

the 112th term

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