Find the sum of sequences 5+7+9+...+137

Ella Bradshaw

Ella Bradshaw

Answered question

2022-01-22

Find the sum of sequences
5+7+9++137

Answer & Explanation

lirwerwammete9t

lirwerwammete9t

Beginner2022-01-23Added 9 answers

We have 5+7+9++137
We ca see that the sequence has a common difference of 2 and the first term is 5
a=5
d=2
For Arythmetic progression:
an=a+(n1)d
137=5+(n1)2
137=5+2n2
n=67
Thus, there are 67 terms in the given series
Sum of n terms with first term a and last term (an) is given by
Sn=n2[a+an]
Sn=672[5+137]
Sn=4757

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