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Question

1a1+a2+1a2+a3+1a3+a4++1n1+an


Solution

1a1+a2+1a2+a3+1a3+a4++1n1+an
Rationalising
a2a1d+a3a2d+a4a3d+an1andanand×an+a1an+a1=ana1d(an+a1)=(n1)ddan+a1=(n1)an+a1

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