Question

The nth term of an



a.P. Is 6n + 2. Find its common difference.

Answer 1

Answer:

nth term in ap

is a+(n-1)d=6n+2

(a-d)+nd=6n+2

compare like terms

6n=nd

d=6

Answer 2

Answer:

Common difference = 6.

Step-by-step explanation:

Given,

$a_{n} = 6n + 2$

Let n = 1

$a_{1} = 6(1) + 2 \\ \\ a = 6 + 2 \\ \\ a = 8$

Now, let n = 2

$a_{2} = 6(2) + 2 \\ \\ a_{2} = 12 + 2 \\ \\ a_{2} = 14$

We know that the sequence is a, a + d

So,

$a_{2} = a + d$

Putting the values we get

14 = 8 + d

14 - 8 = d

d = 6