The value of the function at x = 5, will be 343. Then the correct option is A.
<h3>What is an arithmetic sequence?</h3>Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
We know that the first term is 1/7 and the common ratio is 7.
Then the equation will be
Then the value of the function at x = 5, will be
y = (1/7) · (7)⁵⁻¹
y = (1/7) · (7)⁴
y = 7³
y = 343
Thus, the value of the function at x = 5, will be 343.
Then the correct option is A.
More about the arithmetic sequence link is given below.
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