Question

PLEASE HELP ME QUICK!!!!

USE ARITHMETIC OR GEOMETRIC SEQUENCE TO SOLVE.

Lisa wants to get a new phone. An iPhone 12 is $800 while an iPhone 8 is $600. If the iPhone 12's price goes down by 10% each year and the iPhone 6's goes down by 5% each year, Which phone would be the cheapest for Lisa to get after three years?

Answer 1

iPhone 12!!!!!!!!!!!!

Answer 2

The iphone 8

Explanation:

To find the nth term of a geometric sequence we have the following equation

ar^(n-1)

where a is the first term

r the is the common ratio

n is the term

we can see that the first term for the iphone 12 is 800, the common ratio is .9 (1-.1), and we need the third term

Therefore the price of an iphone 12 after 3 years is

800*.9^(3-1)

which is 648

The iphone 8's first ter is 600 and the common ratio is .95 (1-.05)

using the same equation

600*.95^(3-1)

which is 541.5