When
Is n th term
Find Sn-1
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But I dont understand Maths
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There is a simple trick to finding the nth term of a series whose sum upto n terms is given.
nth term = (sum of n terms) - (sum of n-1 terms)
According to the given formula, Sum of n terms is 5n^2 + 2n and that of n-1 terms is 5(n-1)^2 + 2(n-1)
Thus, nth term = 5[n^2-(n-1)^2] + 2[n-(n-1)]
= 5[(n+n-1)(n-(n-1))] + 2(1)
= 5(2n-1)(1) + 2
= 10n-3
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