Lareak4apando
Answered

Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5.


Choices:

A.-93

B.-33

C.33

D.93

Verified Answer :

JcAlmighty

The answer is C.33

3 (-2)ⁿ⁻¹
n = 1;  3 (-2)¹⁻¹ = 3 (-2)⁰ = 3 1 = 3
n = 2;  3 (-2)²⁻¹ = 3 (-2)¹ = 3 (-2) = -6
n = 3;  3 (-2)³⁻¹ = 3 (-2)² = 3 4 = 12
n = 4;  3 (-2)⁴⁻¹ = 3 (-2)³ = 3 (-8) = -24
n = 5;  3 (-2)⁵⁻¹ = 3 (-2)⁴ = 3 16 = 48

The sum is:
3 + (-6) + 12 + (-24) + 48 = 3 - 6 + 12 - 24 + 48 = 33

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