CBSE Class 10 Answered
if Sn the sum of first n terms of an a.p is given by Sn=5n^2+3n then find its nth term ??
(please explain you procedure)
Asked by ANVESH agarwal | 25 Oct, 2010, 07:46: PM
Expert Answer
Dear Student,
According to the question, the sum of first n term of the AP is given by,
Sn = 5n2 + 3n
Now, the sum of first (n-1) terms will be given by
Sn-1 = 5(n-1)2 + 3(n-1)
=> Sn-1 = 5n2 + 5 - 10n + 3n - 3 = 5n2 - 7n + 2
Now, the difference between Sn and Sn-1 is equal to the nth term,
Sn - Sn-1 = 5n2 + 3n - 5n2 + 7n - 2
=> Tn = 10n - 2
Regards Topperlearning.
Answered by | 25 Oct, 2010, 10:51: PM
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