Write an equation for the nth term of
the arithmetic sequence:
15,28,41

The equation for the nth term of  the given arithmetic sequence is:

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is:

Where is the nth term, is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

So, the common difference d is 13

Now, equation for nth term will be:

So, the equation for the nth term of  the given arithmetic sequence is:

where n=1,2,3..