What if i give you one cent and will double whole month:? - See more at: http://web2.0calc.com/questions/what-if-i-give-you-one-cent-and-will-double-whole-month#sthash.uM3Eitcb.dpuf

What if i give you one cent and will double whole month:? - See more at: http://web2.0calc.com/questions/what-if-i-give-you-one-cent-and-will-double-whole-month#sthash.uM3Eitcb.dpuf

Guest Jan 28, 2015

#2**+10 ****$10,737,418.23 Not bad for a months pocket money **

You mean that you get 1c on the first day,2c on the second day,4c on the 3rd day,...... for 30days?

This is the sum of a GP a=1, r=2, n=30

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

S_{30}=\frac{1(2^{30}-1)}{2-1}\\\\

S_{30}=(2^{30}-1)$$

$${{\mathtt{2}}}^{{\mathtt{30}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{1\,073\,741\,823}}$$ cents

Melody
Jan 28, 2015

#2**+10 **

Best Answer**$10,737,418.23 Not bad for a months pocket money **

You mean that you get 1c on the first day,2c on the second day,4c on the 3rd day,...... for 30days?

This is the sum of a GP a=1, r=2, n=30

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

S_{30}=\frac{1(2^{30}-1)}{2-1}\\\\

S_{30}=(2^{30}-1)$$

$${{\mathtt{2}}}^{{\mathtt{30}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{1\,073\,741\,823}}$$ cents

Melody
Jan 28, 2015