What is the equation for the nth term of geometric sequence 32,48,72

asked Jun 17, 2022 129k views

2 votes

by Fal

3.9k points

Please log in or register to add a comment.

4 votes

Answer:

$\bold{a_n =32\left(\frac32\right)^(n-1)}$

Explanation:

$a_1=32\\a_2=48\\a_3=72\\\\(a_2)/(a_1)=(48)/(32)=\frac32\\\\ (a_3)/(a_2)=(72)/(48)=\frac32\\\\\\(a_2)/(a_1)=(a_3)/(a_2)=\frac32=r$

Therefore the formula:

$a_n=a_1\cdot q^(n-1)\\\\a_n =32\left(\frac32\right)^(n-1)$

Kasperjj answered Jun 20, 2022

3.5k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

3.5m questions

4.5m answers