Question

show that the sequence defined by =an =5n -7 is an A.P . find its common difference​

Answer 1

Answer:

The defined sequence is in A.P with a common difference 5

Step-by-step explanation:

an =5n - 7

Suppose n = 1

a1 =5x1 - 7 = -2

Suppose n = 2

a2 =5x2 - 7 = 10 - 7 = 3

Suppose n = 3

a3 =5x3 - 7 = 15 - 7 = 8

D1 = a2 - a1 = 3 - (-2) = 3+2 = 5

d2 = a3 - a2 = 8 - 3 = 5

As d1 = d2, the defined sequence is in A.P with a common difference 5