Write an
explicit formula for an, the nth term of the sequence 5, 15, 25,

Given:

The sequence is 5, 15, 25, ... .

To find:

The explicit formula for the nth term of the given sequence.

Solution:

We have,

5, 15, 25, ...

It is an AP because the difference between two consecutive terms are same.

Here,

First term : a = 5

Common difference : d = 15 - 5 = 10

Now, the explicit formula for the nth term of an AP is

Where, a is the first term and d is the common difference.

Therefore, the required explicit formula for the given sequence is .

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