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.
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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
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