Question

Your elderly neighbor places a bag of corn kernels on your doorstep each morining. The first day,the bag contained 1 kernel of corn, the second day it contained 2 kernels of corn, 4 kernels of corn on the third day, and so on. Each kernel of corn weighs 0.07 grams. How many kernels of corn will be in the bag on the 26th day?

Answer 1

Answer:$2^{25}$

Step-by-step explanation:

Given

On first day bag contained 1 kernels

on second bag contained 2 kernels of corn

on third day bag contained 4 kernels of corn

on n th day bag contains $2^{n-1}$ kernels of corn

thus on 26 th day bag contains $2^{26-1}=2^{25}=33,554,432$ kernel

Each kernel weigh  0.07 gm

Therefore $2^{25}$ kernels weighs $=2^{25}\times 0.07$

Therefore on 26 th day $2^{25}$ kernel weighs 23,488.1024 kg