Find the sum of the finite arithmetic series. 1+5+9+\cdots+157Z

sonkitty2h

sonkitty2h

Answered question

2021-11-13

Find the sum of the finite arithmetic series.
1+5+9++157

Answer & Explanation

Margaret Plemons

Margaret Plemons

Beginner2021-11-14Added 13 answers

Step 1
1+5+9++157
Here first term a=1
common difference d=51=95=.=4
d=4
nth term tn=157
tn=a+(n1)d=157
tn=a+(n1)d=157
or 1+(n1)×4=157
or 4(n1)=1571
or n1=1564=39
n=39+1=40
Required sum =n2(2a+(n1)d)
=402{2×1+(401)×4}=20(2+39×4)
=20×158
=3160

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Answer is given below (on video)

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