In an A.P., if the first term a = 7, nth term a_n = 84 and the sum of first n terms s_n = \frac{2093}{2}, then... | MCQ 1m | Maths | SuperPadhai

Arithmetic Progressions > Question

MCQ1 markYear: 2024EasyCBSE Class 10

arithmetic-progressionssum-of-apnth-term

Question

In an A.P., if the first term

a = 7

,

n

th term

a_{n} = 84

and the sum of first

n

terms

s_{n} = \frac{2093}{2}

, then

n

is equal to:

Solution

1

S_{n} = \frac{n}{2} (a + a_{n}) \Rightarrow \frac{2093}{2} = \frac{n}{2} (7 + 84) \Rightarrow n = \frac{2093}{91} = 23

+1 mark

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