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
[tex]a_4=a_1+(n-1)d[/tex]
Therefore
For seventh term
[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]
Therefore
For Fourth term
[tex]a_4=23+(3*(-3))[/tex]
a_4=14
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