Question

Show that sequence Defined by An=5n+ 1 is an A.P., also find its common difference.

plz solve it​

Answer 1

Answer:

The defined Sequence is an A.P with common Difference 5

Step-by-step explanation:

An = 5n + 1

Suppose n = 1

A1 = 5(1) + 1 = 5 + 1 = 6

Suppose n = 2

A2 = 5(2) + 1 = 10 + 1 = 11

Suppose n = 3

A3 = 5(3) + 1 = 15 + 1  = 16

Now if the defined sequence is an A.P then the common difference should be same.

D1 = A2 - A1 = 11 - 6 = 5

D2= A3 - A2 = 16 - 11 = 5

As D1= D2, the defined Sequence is an A.P with common Difference 5