Question

Certain number appear in both the arithmetic progression 17,21,25......And 16,21,26...Find the sum of the first two hundred term appearing in both-​

Answer 1

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Answer 2

sum of the first two hundred term appearing in both = 402200

Step-by-step explanation:

17 , 21  , 25

common difference = 4

16  , 21 , 26

common difference = 5

first common term = 21

LCM of 4 & 5 = 20

common difference = 20

200th term = 21 + 199*20  = 4001

Sum of 200 terms

= (200/2)(21  + 4001)

= 100( 4022)

= 402200

sum of the first two hundred term appearing in both = 402200

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