Find the sum of the first 40 positive integers divisible by 6.

+2 votes
60 views
asked Apr 25, 2017 in Mathematics by sforrest072 (157,439 points) 60 409 933
commented Oct 21, 2017 by Puskar (5,804 points) 3 34 151
edited Oct 21, 2017 by Puskar
The answer should be 4920

2 Answers

+2 votes
answered Oct 21, 2017 by Annu Priya (18,055 points) 24 45 82
selected Oct 21, 2017 by sforrest072
 
Best answer

Solution:

the first 40 positive integers divisible by 6 are 6,12,18,....... upto 40 terms

the given series is in arthimetic progression with first term a=6 and common difference d=6

sum of n terms of an A.p is 

n/2×{2a+(n-1)d}

→required sum = 40/2×{2(6)+(39)6}

=20{12+234}

=20×246

=4920

+1 vote
answered Oct 21, 2017 by Puskar (5,804 points) 3 34 151
edited Oct 21, 2017 by Puskar
The answer is 4920

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