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What are the sum of the whole numbers between 100 and 1000 which are divisible by 11?
in Mathematics by Diamond (64,808 points) | 95 views

1 Answer

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multiples of 11 from 100 are 110;121;132;...

They will form an arithmetic pattern with d = 11 and a = 110

last term = 110 + 11x80 = 990 , meaning its at position 80 + 1 = 81 and n = 81

sum of arithmetic = n[2a + (n-1)d]2

                        = 81[2x110 + (81-1)11]/2

                       = 44 550
by Diamond (42,686 points)

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