Answered

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What is the summation notation for the geometric series 1/2+2+8+32+128?

Answer ( k=1 ∑ 5 ) 1/2(4)^k-1

Sagot :

The summation notation is ∑ [tex](4^{n} -1)\\[/tex]/2.

What is geometric progression?

The common ratio multiplied here to each term to get the next term is a non-zero number.

Given:  1/2+2+8+32+128

Using,

[tex]a_n= a_1r^{n-1}[/tex]

We have,

a1 =1/2 and r= 4

notation is : An= ∑ [tex](4^{n} -1)\\[/tex]/2

Hence, the notation is  An= ∑ [tex](4^{n} -1)\\[/tex]/2.

Learn more about Geometric series here:

https://brainly.com/question/23304333

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