Question

find the A. P. consist of 10 term if sum of the even places is 15 and sum of odd places is 12.5 then find the A. P. ​

Answer 1

Step-by-step explanation:

a, a+d, a+2d........., a+9d

Sum of even places is 15

T2+T4+T6+T8+T10=15

a+d+a+3d+a+5d+a+7d+a+9d=15

5a+25d=15_____(1)

Sum of odd places is 12.5

T1+T3+T5+T7+T9=12.5

a+a+2d+a+4d+a+6d+a+8d=12.5

5a+20d=12.5____(2)

(1)-(2)=> 25d-20d=15-12.5

5d=2.5

5d=5/2

d=1/2

5a+25d=15

a+5d=3

a+5/2=3

a=3-5/2

a=1/2

The sequence is 1/2,1,3/2,2,5/2,3,7/2,4,9/2,5