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What is the value of r of the geometric series?

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1.3 (0.8) Superscript n minus 1


Sagot :

Answer:

A) 0.8

Step-by-step explanation:

0.8 on edge.

The value of r of the geometric series is 4/5.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

Given the formula for the geometric series expressed as

[tex]_3\\\sum{1.3(0.8)^n^-^1}\\n=1[/tex]

Comparing both equations

rⁿ⁻¹  =  (0.8)ⁿ⁻¹

r = 0.8

r = 8/10

r = 4/5

Hence, the common ratio is 4/5.

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