Question

The 17th term of an ap is 20 more than the 13th term then the common difference is

Answer 1

Hope it's help you friend ☺️

Answer 2

Answer:

5

Step-by-step explanation:

Given : The 17th term of an ap is 20 more than the 13th term

To Find:  the common difference

Solution :

Formula of nth term in A.P. = $a+(n-1)d$

Where a is the first term

n is the term number

d is the common ratio

Thus 17th term =  $a+(17-1)d =a+16d$

13th term = $a+(13-1)d =a+12d$

Since we are given that The 17th term of an ap is 20 more than the 13th term

Thus  $a+16d =a+12d +20$

$16d =12d +20$

$4d =20$

$d=\frac{20}{4}$

$d=5$

Thus the common ratio is 5