Evaluate the summation of 2 times negative 2 to the n minus 1 power, from n equals 1 to 7..

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 313 People

Evaluate the summation of 2 times negative 2 to the n minus 1 power, from n equals 1 to 7..
−256

−84

Answered by maham237 @ 22/12/2020

Answer:

(D) 86

Step-by-step explanation:

According to the question, the equation will be= \sum_{n=1}^{7}2(-2)^{n-1}.

Now,substituting the values of n from 1 to 7 in the above equation, we have

\sum_{n=1}^{7}2(-2)^{n-1} = $2(-2)^{0} + 2(-2)^{1}+ 2(-2)^{2}+ 2(-2)^{3} + 2(-2)^{4}+ 2(-2)^{5}+ 2(-2)^{6}$

= $2-4+8-16+32-64+128$

= $170-84$

= $86$

Hence, the correct answer will be equal to 86.

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