SOLUTION: Hey! I am confused on how to solve this problem in which I have to solve by using geometric/arithmetic sequences. Your work at a job that paid wages of $1 the first day, $2 the

Algebra ->  Sequences-and-series -> SOLUTION: Hey! I am confused on how to solve this problem in which I have to solve by using geometric/arithmetic sequences. Your work at a job that paid wages of $1 the first day, $2 the       Log On


   

Question 737274: Hey! I am confused on how to solve this problem in which I have to solve by using geometric/arithmetic sequences.
Your work at a job that paid wages of $1 the first day, $2 the second day, $4 the third day, with your earnings doubling each successive day. What are your total earnings after working 14 days?
Thanks! :)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use formula:
2%5En where n=0,1,2,3,.....,14
you need total earnings after working n=14 days; so, you have
$1......................2%5En=>2%5E0=1..... the first day
$2......................2%5E1=2........ the second day
$4......................2%5E2=4%0D%0A%24%7B%7B%7B8......................2%5E3=8
$16....................2%5E4=16
$32....................2%5E5=32
$64....................2%5E6=64
$128..................2%5E7=128
$256..................2%5E8=256
$512..................2%5E9=512
$1024................2%5E10=1024
$2048................2%5E11=2048
$4096................2%5E12=4096
$8192................2%5E13=8192
$16384..............2%5E14=16384
total:1%2B2%2B4%2B8%2B16%2B32%2B64%2B128%2B256%2B512%2B1024%2B2048%2B4096%2B8192%2B16384=32767