th sum of n terms of the serious 2,5,8,11,______ is 60100 then n is
100
200
250
150
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2
Answer:
n = 200 so option:- (b)
Step-by-step explanation:
Given series 2,5, 8,11 + ....
Here a = 2, d = 3. Let number of terms be n.
Then sum of AP = n/2{2a + (n - 1)d}
60100=n/2(2 x 2+(n-1)3)
=> 120200 = n(3n+1)
⇒ 3n2 + n - 120200 = 0
⇒ (n - 200)(3n + 601) = 0
Hence, n = 200.
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