Question

The first time Lori played a game, she scored 100 points. She doubled her previous score each of the next 3 times she played the game. What was Lori's scored the first 4 times she played the game

Answer 1

Answer:

1500 points

Step-by-step explanation:

Given

$Initial\ Score = 100$

$Rate = 2$

Required

Determine the total score in first 4 games

This question illustrates a geometry progression and will be solved as follows:

$S_n = \frac{a(r^n - 1)}{r - 1}$

Where

$a = First\ Term = 100$

$r = common\ ratio = 2$

$n = 4$

$S_4 = \frac{100(2^4 - 1)}{2 - 1}$

$S_4 = \frac{100(16 - 1)}{1}$

$S_4 = \frac{100(15)}{1}$

$S_4 = 1500$

Hence, the score in first four games total 1500 points