Question

You finally get an allowance! You put $2.00 away in January, $4.00 away in February, $8.00 away in March, $16.00 away in April and followed this savings pattern through to December. How much money do you have in 12 months? *

Answer 1

$8190

Explanation:

So we know that were putting away $2 each month from our allowance.

Jan-$2

Feb-$4

March-$8

April-$16

Ok so we already put away 4 months of our allowance from 12. So we need 8 more months to count how much.

So lets add: 2 + 4 + 8 + 16=30

Now we need to figure out how much in May and so on.

May- 16x2=32

June-32x2=64

July-64x2=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

In total to add:

2 + 4 + 8 + 16 + 32 +64 + 128 + 256 + 512 + 1024 + 2048 + 4096 = 8190

Hope this helps :)