Question

The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Baseline + (n minus 1) d. Which of the following is equivalent to this equation?

Answer 1

The equation of nth term will be written as for n as will be ($\rm a_n$ - a₁ + d) / d. Then the correct option is D.

The missing options are attached to the picture given below.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The formula for the nth term of an arithmetic sequence can be found using the formula given below.

$\rm a_n = a_1 + (n-1)d$

Then arrange the equation for n, we have

$\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}$

Then the correct option is D.

More about the sequence link is given below.

brainly.com/question/21961097

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