Hank finally gets an allowance! He puts $2, away in January, $4, away in February, $8, away in March, $16 away is April and followed this savings pattern through December. How much money does Hank have in 12 months?
a lot ... must be some allowance ...
2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
2^13 - 2 = 8190
Hank is doubling each month so 2^12 = ?
My 2^12 gives the amount in Dec. You need to add all the months together.
To calculate how much money Hank has in 12 months, we need to calculate the progression of the amount he puts away each month. The pattern indicates that Hank doubles the amount he puts away each month. Let's break it down month by month:
January: $2
February: $4
March: $8
April: $16
We can see a clear pattern where each month doubles the previous month's amount. To find out the amount Hank puts away in May, we double April's amount:
April: $16
May: $16 x 2 = $32
Following the same pattern, we can calculate the amounts for the remaining months:
June: $32 x 2 = $64
July: $64 x 2 = $128
August: $128 x 2 = $256
September: $256 x 2 = $512
October: $512 x 2 = $1024
November: $1024 x 2 = $2048
December: $2048 x 2 = $4096
Now, to find out how much money Hank has in 12 months, we sum up all the amounts:
$2 + $4 + $8 + $16 + $32 + $64 + $128 + $256 + $512 + $1024 + $2048 + $4096 = $8190
Therefore, Hank has $8190 in 12 months.