Find the following sums of arithmetic sequences. \(\displaystyle{881}+{872}+{863}+{854}+\ldots{.8}\)

Devin Dougherty

Devin Dougherty

Answered question

2022-04-15

Find the following sums of arithmetic sequences.
881+872+863+854+.8

Answer & Explanation

akorda5cc2

akorda5cc2

Beginner2022-04-16Added 6 answers

881+872+863+854+.8
Gauss Method: Sum of terms=Average term×Number of terms
Average term=first term+last term2
=881+82
=8892 -Average term
Number of terms:
(first termlast termfirst termsecond term)+1
=8818881872+1
=8739+1
=97+1
=98 - Number of terms
Therefore, the Sum of terms
8892×98=43561
The answer: 43561

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