I need to find the sum of the arithmetic sequence 135, 123, 111 …, if there are 34 terms

kadirsmr9d

kadirsmr9d

Answered question

2022-09-08

I need to find the sum of the arithmetic sequence 135, 123, 111 …, if there are 34 terms

Answer & Explanation

madirans2m

madirans2m

Beginner2022-09-09Added 17 answers

We have to find the sum of arithmetic sequence { 135 , 123 , 111 } up to 34 terms.
In the sequence a 1 , a 2 , a 3 , ... . ... , a n nth term is given by a 1 + ( n - 1 ) d where a 1 is the first term d is the constant difference ( a 2 - a 1 ). Here a 1 is 135 and d=−12, hence
a 34 = 135 + 33 ( - 12 ) = 135 - 396 = - 261
Sum of the series is given by n a 1 + a n 2 and in this case it turns out to be 34 ( 135 - 261 ) or 34 ( - 126 ) or −4284-

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