Question

If the 2nd term of an AP is 13 and 5th term is 25
find the first term and common differenc,also wirte the AP amd its 25th term

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Heya!

Nth term of An A.P is given by

An = a + ( n -1 )d

Where a is ist term , d is common Difference and n is number of terms.

A2 = a + d = 13

A5 = a + 4d = 25

a + d = 13 ... Equation i

a + 4d = 25 ... Equation ii

Subtract both the Equations we have

3d = 12

d = 4

a = 9

Series of A.P is

9 , 13 , 17 , 21 25 , ...

A25 = a + 24d

A25 = 9 + 24×4

A25 = 105