Question

if you save 1 paise today , 2 Paisa the next day ,4 paise the succeeding day and so on then your total savings in 2 weeks will be

Answer 1

Days = 14
Savings 1 paise first day doubling every day
Hence It a G P.
First term,A = 1
Common ratio, r=2
Number of terms = 14

Succeeding Days

for 14 days, doubling each day...1, 2, 4, 8, ...

14
Σ = a[(1 - r^n)/(1 - r)]
n=1

for a = 1, r = 2...can you do the calculation ? Why not ??

Σ = 16383

Answer 2

it forms a geometric progression

1,2,4,8,16.......

a=1

r=2

sum=a(r^n-1)/r-1

=1(2^14-1)/2-1

=2^14

=16384