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The nth term of the series whose sum to n terms is 5n2 + 2
n
is- a)3n – 10
- b)10n –2
- c)10n – 3
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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The nth term of the series whose sum to n terms is 5n2 + 2nisa)3n &nda...
To find the nth term of the series, we need to find the difference between the sum of the first n terms and the sum of the first (n-1) terms.
From the given information, we know that the sum of the first n terms is:
5n^2 - 2n
And the sum of the first (n-1) terms is:
5(n-1)^2 - 2(n-1)
To find the nth term, we subtract the sum of the first (n-1) terms from the sum of the first n terms:
5n^2 - 2n - (5(n-1)^2 - 2(n-1))
Simplifying this expression:
5n^2 - 2n - (5n^2 - 10n + 5 - 2n + 1)
5n^2 - 2n - 5n^2 + 10n - 6
8n - 6
Therefore, the nth term of the series is 8n - 6.
From the given information, we know that the sum of the first n terms is:
5n^2 - 2n
And the sum of the first (n-1) terms is:
5(n-1)^2 - 2(n-1)
To find the nth term, we subtract the sum of the first (n-1) terms from the sum of the first n terms:
5n^2 - 2n - (5(n-1)^2 - 2(n-1))
Simplifying this expression:
5n^2 - 2n - (5n^2 - 10n + 5 - 2n + 1)
5n^2 - 2n - 5n^2 + 10n - 6
8n - 6
Therefore, the nth term of the series is 8n - 6.
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The nth term of the series whose sum to n terms is 5n2 + 2nisa)3n – 10b)10n –2c)10n – 3d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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