Question

if the 10th term and 14th term of an ap are 25 and 37 respectively then common diffrence is,​

Answer 1

The common difference of this AP series is 3.

Step-by-step explanation:

Given:

The 10th term of a series $a_{10}$ =25

and the 14th term of a series;$a_{14}$= 37

To find= the common difference d of the AP series

$a_{10}$ =a+(10-1)d

25=a+9d---1

and

$a_{14}$= a+(14-1)d

37= a+13d----2

Solving equations 1 and 2:

12= 4d

d= 3

Result

Thus, The common difference of this AP series is 3.

(#SPJ3)