Question

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

Answer 1

The summation notation is ∑ $(4^{n} -1)$/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,

$a_n= a_1r^{n-1}$

We have,

a1 =1/2 and r= 4

notation is : An= ∑ $(4^{n} -1)$/2

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

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