Question

URGENT!!! Can someone please help me find the terms? It would mean so much, thank you!!

Answer 1

A)

`a_ {10}= 87`

B)

`a_ {75}=9(75)-3 = 672`

C)

`a_n=9n - 3`

Step-by-step explanation

The terms of the sequence are,

6,15,24,33,42,...

The common difference is

`d=15-6 = 9`

The first term is

`a_1=6`

C)

The nth term of an arithmetic sequence is

`a_n= a_1+d(n-1)`

`a_n= 6+9(n-1)`

`a_n= 6+9n - 9`

`a_n=9n - 3`

A) To find the tenth term, we put n=10 into the formula,

`a_ {10}= 9(10) - 3 = 87`

B) To find the 75th term, we put n=75 into the formula,

`a_ {75}=9(75)-3 = 672`