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Arithmetic Mean

For an AP, th...

Question

For an AP, the sum of the first 10 terms is equal to sum of the first 30 terms. Sum of m terms is equal to zero, what can be a possible value of m?

A

15

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B

20

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C

25

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D

40

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Solution

The correct option is D 40
S_p =S_q

S_p+q= 0

S ₄₀ = 0

2nd method: -

10a + 45d = 30a + 435d => 20a + 390d = 0

40a + 780d = 0

S₄₀ = 0.

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