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Assoli18 [71]
3 years ago
13

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

Mathematics
2 answers:
Gnom [1K]3 years ago
6 0
For n = [1,2,3,4,5]  you can evaluate the series as follows:

3( -2)^{1-1} +3( -2)^{2-1} +3( -2)^{3-1} +3( -2)^{4-1}+3( -2)^{5-1}
= 3 + (-6) + (12) + (-24) + (48)
= 63 - 30
= 33
erica [24]3 years ago
6 0
He is correct, the answer is 33

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b) The 10^{th} of the sequence

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<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given n^{th} term of the sequence

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put n=1

First term  a₁ = 1² +4 = 1+5

put n =2

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Put n=3

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<u><em>Step(ii):-</em></u>

Given n^{th} term of the sequence

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put n =10

a₁₀ = 10²+4 = 100+4 = 104

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The 10^{th} of the sequence

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<u><em></em></u>

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