Question

find the sum of all even positive integers less than 200

Answer 1

Answer:

Sum of even positive integers less than 200=>2+4+6+8......198.

198 is the $99^{th}$ term of the series.

sum of the series=>99/2(4+98×2)=9900.....(1)

series of multiples of 6 till 200=>6+12....198

198 is $33^{th}$ term.

sum of the series=>33/2(12+32×6)=3366......(2)

required sum=(1)-(2)=6534.