What is the expansion of the series

sum from n equals 1 to 4 of 4 to the n plus 1 power

4 + 8 + 12 + 16
4 + 16 + 64 + 256
16 + 64 + 256 + 1,024
16 + 20 + 24 + 28

What is the expansion of the series sum from n equals 1 to 4 of 4 to the n plus 1 power 4 8 12 16 4 16 64 256 16 64 256 1024 16 20 24 28 class=

Respuesta :

The expansion of the series is 16 + 64 + 256 + 1024

How to expand the series?

The series is given as:

[tex]\sum\limits^4_{n=1} 4^{n+1}[/tex]

When n = 1, we have:

[tex]4^{n+1} = 4^{1+1} = 16[/tex]

[tex]4^{n+1} = 4^{2+1} = 64[/tex]

[tex]4^{n+1} = 4^{3+1} = 256[/tex]

[tex]4^{n+1} = 4^{4+1} = 1024[/tex]

Hence, the expansion of the series is 16 + 64 + 256 + 1024

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