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Question

Find the sum of n terms of an A.P. whose nth terms is given by an=56n.

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Solution

Given: tn = 5 - 6n
Put n=1, t1= -1
n=2, t2= -7
n=3, t3= -13

Sum of n terms= n/2[2a+(n-1)d]
= n/2[2(-1)+(n-1)(-6)]
= n/2[-2-6n+6]
=n/2(4-6n)
=> n(2-3n)


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