Question

Smita goes to the temple every day. She offers 2 flowers on the first day of every month, 4 flowers on the second day, 8 on the third day and so on , then how many flowers will she offer on the fifteen day ? Why do you think so?​

Answer 1

Answer:

She offers $32768$ flowers on the fifteenth day

Step-by-step explanation:

Given:

$2$ flowers on the first day.

$4$ flowers on the second day.

$8$ flowers on the third day.

We need to find the number of flowers at the end of fifteen days.

So let's write in a sequence we get as:

$2+4+8+...$

This sequence is like Geometric progression(G.P)

So first term $a=2$

Common ratio $d=2$

fifteenth term in G.P is

$t_n=a(r^{n-1})\\\\t_{15} =2(2^{15 -1}) \\\\\\t_{15}=2(16384)\\\\\\t_{15}=32768$