Question

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

Answer 1

ANSWER

A)

$a_ {10}= 87$

B)

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

C)

$a_n=9n - 3$

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,

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