Question

divide 25 into 5 equal parts in AP such that the first and last term are in ratio 2:3 then what will be its 10th term​

Answer 1

Answer:

10th term = 9.5

Step-by-step explanation:

first term = a

common difference = d

let the terms be a-2d , a-d , a , a+d , a+2d

a-2d +a-d +a +a+d + a+2d = 25

5a = 25

a = 5

a-2d / a+2d = 2/3

3 ( a- 2d ) = 2( a + 2d )

3a - 6d = 2a + 4d

3a - 2a = 4d + 6d

a = 10d

5 = 10d ( substituting a = 5 )

d = 1/2

nth term = a+(n-1)

10th term = 5+(10-1)1/2

                = 5+ 9/2

                = 5 + 4.5

                = 9.5