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nth Term of A.P

If the nth te...

Question

If the $n th$ term of a sequence is given by $t_{n} = 8 n + 3$ , then the sum of first $20$ terms is

A

1720

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B

1330

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C

1800

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D

1740

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Solution

The correct option is D $1740$
Given : $t_{n} = 8 n + 3$
As it is a linear function in $n$ , so it is an A.P. with
$t_{1} = 11 t_{20} = 163$
Therefore, the sum of $20$ terms
$S_{20} = \frac{20}{2} [11 + 163] ∴ S_{20} = 1740$

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nth Term of A.P

Standard XII Mathematics

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