Find the common ratio in the first term is 5 and thetenth term is 98,415?...

Questions

mysterious1816 @mysterious1816

May 2022 1 7 Report

Find the common ratio in the first term is 5 and the
tenth term is 98,415?

Answers & Comments

RobbieRavenclaw

Verified answer

Answer:

The common ratio is $3\sqrt{3}$

Step-by-step explanation:

Given: $a_1=5$ , $a_5=98,415$

Formula: $a_n=a_1r^{n-1}$

Find the given in the formula.

$a_n=a_1r^{n-1}\\98,415=5r^{5-1}\\98,415=5r^{4}\\\frac{98,415}{5}=\frac{5r^4}{5}\\19683=r^4\\3^9=r^4\\\sqrt[4]{3^9}=\sqrt[4]{r^4}\\3\sqrt{3}=r$

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