Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December? Let's think step by step and output the final answer after "####".
user
Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $<<16*2=32>>32.
In June, Derek has $32 * 2 = $<<32*2=64>>64.
In July, Derek has $64 * 2 = $<<64*2=128>>128.
In August, Derek has $128 * 2 = $<<128*2=256>>256.
In September, Derek has $256 * 2 = $<<256*2=512>>512.
In October, Derek has $512 * 2 = $<<512*2=1024>>1024.
In November, Derek has $1024 * 2 = $<<1024*2=2048>>2048.
By December, Derek has $2048 * 2 = $<<2048*2=4096>>4096 to save.
#### 4096
Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?
train