Question

find the nth term of the 5,9,13,17.....

Answer 1

nth term is 1+4n
it is in ap

Answer 2

Given,

The series: 5,9,13,17,---

To find,

The nth term of the AP.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have:

The series: 5,9,13,17,---

This series is an AP because the difference between the two consecutive terms is the same.

The first term (a) = 5

Common difference (d) = second term - first term

d = 9-5

d = 4

We know that the following formula is used to find the nth term of an arithmetic progression:

an = a+(n-1)d where n is the number of the term

So,

an = 5+(n-1)4

an = 5+4n-4

an = 4n+1

Hence, the nth term of 5,9,13,17,--- is (4n+1).