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Question

If a1,a2,a3,a4,a5 are in A.P with common difference 0, then find the value i=1ai5 when a3=2.


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Solution

Finding the value of i=1ai:5

Given a1,a2,a3,a4,a5 are in A.P and a3=2

a+2d=2a=2-2da2=a+d=2-da4=a+3d=2-2d+3d=2+da5=a+4d=2-2d+4d=2+2di=1ai5=a1+a2+a3+a4+a5=2-2d+2-d+2+2+d+2+2d=10

Hence, the value of i=1ai5 is 10..


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