To find: The sum of the given arithmetic sequence. The sequence PS

jippie771h

jippie771h

Answered question

2021-11-18

To find: The sum of the given arithmetic sequence.
The sequence n=190(32n)

Answer & Explanation

Melinda Olson

Melinda Olson

Beginner2021-11-19Added 20 answers

Formula used:
The formula for the summation of a polynomial with degree 1 is, k=1nk=n2(1+n)......(1)
The formula for the summation of a constantis, k=1nc=cn .....(2)
Calculation:
To find the sum of the arithmetic sequence, i.e, to find,
Sn=n=190(32n)
Write n=19032n as follows,
n=190(32n)=n=19032n=190n
Now to find n=1903,
Substitute the values of n in equation (2).
We get, n=1903
=3(90)
=270
Now to find the 2n=190n
Substitute the values of n in equation (1).
We get,
2n=190n
=2(90(90+1)2)
=2(90×912)
=8190
Then,
2n=1903+2n=190n=2708190
=7920
Hence
n=190(32n)=7920

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