Find the sum of all integers between 550 and 850 which are divisible by 11.In the given figure, find the area of the shaded region.
Answers
Given : all integers between 550 and 850 which are divisible by 11.
To find : Sum of all those numbers
Solution:
integers between 550 and 850
so 550 & 850 not included
561 is 1st number after 550 divisible by 11
& 847 is the last number before 850 Divisible by 11
561 + 572 + ..................................+ 836 + 847
= 11 ( 51 + 52 + ...........................+ 76 + 77)
this is an AP
a = 51
last term = 77
n = 27
= 11 ( 27/2)(51 + 77)
= 11 (27) ( 64)
= 19008
19008 is the sum of all integers between 550 and 850 which are divisible by 11
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