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Find the sum of first 30 positive integer multiple of 6

Asked by Lav 2nd November 2017, 11:17 PM
Answered by Expert
Answer:
begin mathsize 16px style According space to space the space question space series space is
6 comma 12 comma 18 comma 24 comma......
Here comma
straight a equals 6 comma space straight d equals 6
straight S subscript straight n equals straight n over 2 open square brackets 2 straight a plus open parentheses straight n minus 1 close parentheses straight d close square brackets
straight n equals 30
straight S subscript 30 equals 30 over 2 open square brackets 2 cross times 6 plus open parentheses 30 minus 1 close parentheses cross times 6 close square brackets
straight S subscript 30 space equals 15 open parentheses 12 plus 29 cross times 6 close parentheses
straight S subscript 30 space equals 15 cross times 186
straight S subscript 30 space equals 2790
end style
Answered by Expert 11th December 2017, 2:25 PM
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