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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

Best Answer 

 #2
avatar+91510 
+10

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

 

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

Melody  Jan 28, 2015
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 #1
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with one million

Guest Jan 28, 2015
 #2
avatar+91510 
+10
Best Answer

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

 

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

Melody  Jan 28, 2015

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