Find the sum of each arithmetic series 5,7,9\cdots27

katelineliseua

katelineliseua

Answered question

2021-11-14

Find the sum of each arithmetic series
5,7,927

Answer & Explanation

Othrom

Othrom

Beginner2021-11-15Added 15 answers

Step 1
Given an arithmetic series
5,7,9,27
Sum of the series
Sn=n2[2a+(n1)d]
Sn=122[2(5)+11×2]
Sn=192
Step 2
First of the series a1=5
Common difference d=75=2
nth term of AP is given by
an=a+(n1)d
27=5+(n1)2
22=(n1)2
n1=11n=12
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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