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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
Therefore
For seventh term
Therefore
For Fourth term
a_4=14
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Number 1.
, first we will take the
of both of these numbers getting us,
, which then gives us that
Number 2
, solve for our exponent,
, use the logarithmic formula, and we get,
, which then we get that