i am thinking of doing this.
I want to open an account.
on the first day i deposit 1 shilling.
on the second day i double what i deposited yesterday so i deposit 2 shillings.
on the third day i deposit double what i had deposited the previouse day so i deposite 2x2=4 shilling.
i continue with this trend for 30 days. each new day i deposit double of what i deposited the previous day.
At the end of 30 days how much money will i have in my account?
2007-02-13 19:37:19 · 6 answers · asked by Omar 1 in Science & Mathematics ➔ Mathematics
that's quite a simple
the series 1,2,4,8... is a geometric progression
to find the sum we have the formula a(r^n-1)/r-1
here r=2(the common multiple)
a=1(first term)
n=30.
applying the formula one will get the answer as 2^30-1
1073741823 is the answer.(well it's a whole lot of money)
2007-02-13 19:47:56 · answer #1 · answered by Franklin 3 · 0⤊ 0⤋
Your deposits are in Geometric Progression - 1,2,4,8,16...
The sum of 30 terms of this series is 1x(1-2^30)/(1-2) = 1073741823. After 30 days you will have 1,073,741,823 shillings.
2007-02-14 03:55:36 · answer #2 · answered by skg 2 · 0⤊ 0⤋
1+2+4+8+16+32+64+128+256+512+.......till + 2^29
ans is 1073741823
2007-02-14 04:05:40 · answer #3 · answered by jytopy 4 · 0⤊ 0⤋
Put this into your calculator as binary, then convert to decimal. It's 30 ones.
111111111111111111111111111111
2007-02-14 03:48:54 · answer #4 · answered by endless_h8 2 · 0⤊ 0⤋
Let think you r deposited "x" in first day.
so second day = 2x
third day = 2(2x)
so on ...
2007-02-14 04:33:16 · answer #5 · answered by Lucky 2 · 0⤊ 0⤋
Do the math.
2007-02-14 03:47:04 · answer #6 · answered by T J 6 · 0⤊ 0⤋