Question

if there is 30 student in a class room and i gave 1 egg to first student and the first student pass the egg by doubling it to 2nd and 2nd gave by doubling the egg to 3rd (it means 1st student gave 2 eggs to 2nd student and 2nd student gave 4 eggs to 3rd). Then how many eggs are given to 30th student ? ​

Answer 1

Answer:

1,073,741,824 is answer

Answer 2

Answer:  The required number of eggs given to the 30th student is 536870912.    

Step-by-step explanation:  Given that there are 30 students in a class room and I gave 1 egg to first student and the first student pass the egg by doubling it to 2nd and 2nd gave by doubling the egg to 3rd and so on.

We are to find the number of eggs given to the 30th student.

Since the number of eggs is being doubled every time, so the sequence of the number of eggs given to first, second, third, . . .  student will be  geometric.

The first term of the geometric sequence is

a = 1

and the common ratio is

r = 2.

We know that

the nth term of a geometric sequence with first term a and common ratio r is given by

$a_n=ar^{n-1}.$

Therefore, the 30th term of the sequence is

$a_{30}=ar^{30-1}=1\times2^{29}=2^{29}=536870912.$

Thus, the required number of eggs given to the 30th student is 536870912.