Tommygdkfoe
Tommygdkfoe Tommygdkfoe
  • 24-01-2019
  • Mathematics
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what are the first and last terms of this geometric series

what are the first and last terms of this geometric series class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 24-01-2019
ANSWER

E. 10 and 640


EXPLANATION


The given series is

[tex]\sum_{i=1}^45 \times 2^{2i-1}[/tex]


To find the first term of the series we substitute i=1 to get,


[tex]a_1 = 5 \times {2}^{2 \times 1 - 1} [/tex]


[tex]a_1 = 5 \times {2}^{ 1} = 10[/tex]



For the last term of the series, we substitute i=4 to obtain,

[tex]a_4 = 5 \times {2}^{2 \times 4 - 1} [/tex]


[tex]a_4 = 5 \times {2}^{7} [/tex]



This implies that,


[tex]a_4 = 5 \times 128 = 640[/tex]


Therefore the correct answer is E
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