Choose the correct equation for an arithmetic
sequence in which t(4) = 8 and t(10) = 32
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The equation is

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.

The general equation for an arithmetic sequence is:

Taking the mth term as reference, the equation can be written as:

t(4) = 8 and t(10) = 32

The common difference can be found:

So

Finding the first term:

So

So

The equation is