Question

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

Answer 1

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

$a_4=a_1+(n-1)d$

Therefore

For seventh term

$5=23+(6)d\\\\d=5-23/(6)\\\\d=-3$

Therefore

For Fourth term

$a_4=23+(3*(-3))$

a_4=14

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