Question

What is the missing value in the table below?

Answer 1

The value of the function at x = 5, will be 343. Then the correct option is A.

What is an arithmetic sequence?

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

$\rm y = \dfrac{1}{7} \ \cdot \ (7)^{x - 1}$

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.

brainly.com/question/12373434

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