Write the series and find the sum of the series of sigma notation. sum_{k=1}^9frac{1}{2^k}

Rui Baldwin

Rui Baldwin

Answered question

2020-12-14

Write the series and find the sum of the series of sigma notation.
k=1912k

Answer & Explanation

cheekabooy

cheekabooy

Skilled2020-12-15Added 83 answers

Consider the given sigma notation k=1912k
Now expand the sigma series as
k=1912k=121+122+123+...+129
Above series is geometric
First term a=12 and common ratio as
r=12212
=222
=12
Now find the sum of the series as
sn=a(1rn)1r
s9=12[1(12)9]112
=29129
=5121512
=511512
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-27Added 2605 answers

Answer is given below (on video)

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