Question

Write down the sequence of natural numbers leaving remainder 2 on division by 5

Answer 1

Answer:

Aₙ=5n+2

Step-by-step explanation:

Each term must be multiple of 5 added 2 in order to leave remainder of 2. Then it is:

• Aₙ=5n+2, n∈N
• 7, 12, 17, ..., 5n+2

Answer 2

Answer:

The sequence of natural numbers leaving remainder 2 on division by 5 is 7,12,17,22,........

Step-by-step explanation:

The term must be multiple of 5 added 2 in order to leave reminder of 2.

We can Sn = 5n+2, n is a natural number.

when n= 1

when n= 15×1+2 = 7

when n= 2

when n= 15×1+2 = 7

when n= 3

when n= 35×3+2= 17.................

5×n+2= 5n+2

All positive integer is called natural numbers.It does not contain 0. For example 1,2,3,4,5,6,7,8,......

all are natural number.

Here The sequence of natural numbers leaving remainder 2 on division by 5 is 7,12,17,22,........