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Find the sum of 60 terms of A.P 3,,5,,7,...

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Find the sum of $60$ terms of A.P $3, 5, 7, ...$

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Amelia Discussed

Find the sum of

60

terms of A.P

3, 5, 7, ...

12 mins ago

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12 mins ago

Text solutionVerified

a = 3, d = 5 - 3 = 2

S_{n} = \frac{n}{2} [2 a + (n - 1) d]

S_{60} = \frac{60}{2} [2 \times 3 + (60 - 1) \times 2]

S_{60} = 30 [6 + (59) \times 2]

S_{60} = 30 \times [6 + 118]

S_{60} = 30 \times 124 = 3720

∴ 60^{t h}

term of the A.P is

3720

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