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The sum of first 100 terms common to the series 17, 21, 25,.... & 16, 21, 26.... is

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The sum of first 100 terms common to the series 17, 21, 25,.... & 16, 21, 26.... is

(A) 101100 

(B) 111000 

(C) 110010 

(D) 100101 

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1 Answer

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Best answer

Correct option (A) 101100

Explanation:

d1 = 4 

d2 = 5 

d = lcm of d1 & d2 = 20 21, 41, 61,..... 

S = 100/2 [2 × 21 + (99)20] = 100[21 + 990] = 101100

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