The notation n is defined as factorial n and it means the product of positive integers from 1 to n, for example 3 = 1 × 2 × 3. Now form the sum S = 1 + 2 + 3 + 4 + ….. upto ∞. If you divide this sum…

Question

The notation n is defined as factorial n and it means the product of positive integers from 1 to n, for example 3 = 1 × 2 × 3. Now form the sum S = 1 + 2 + 3 + 4 + ….. upto ∞. If you divide this sum S by 8, the remainder is :

PYQPulse · Accepted Answer

1

PYQPulse · Answer

Explanation: Every factorial from 4! upward is a multiple of 8; 1!+2!+3! = 9, which leaves remainder 1 on division by 8.

The notation n is defined as factorial n and it means the product of positive integers from 1 to n, for example 3 = 1 × 2 × 3. Now form the sum S = 1 + 2 + 3 + 4 + ….. upto ∞. If you divide this sum S by 8, the remainder is :

Answer: B. 1

Explanation

The notation n is defined as factorial n and it means the product of positive integers from 1 to n, for example 3 = 1 × 2 × 3. Now form the sum S = 1 + 2 + 3 + 4 + ….. upto ∞. If you divide this sum S by 8, the remainder is :

Answer: B. 1

Explanation