Question

find the common difference if th nth term of an AP is 7n+7.Also find its 7th term
this question is from the chapter arthamatic progresssion​

Answer 1

Step-by-step explanation:

Given:-

nth term of an AP is 7n+7.

To find:-

Find the common difference and .Also find its 7th term?

Solution:-

Given that

nth term of an AP = 7n +7

tn = 7n+7

Put n = 1 then

t1 = 7(1)+7

=>t1 = 7+7

t1 = 14

Put n = 2 then

t2 = 7(2)+7

=>t2 = 14+7

t2 = 21

First term (t1) = 14

Second term (t2) = 21

Common difference (d) = t2 - t1

=>d = 21-14 = 7

d = 7

Common difference = 7

Put n = 7 then

t7 = 7(7)+7

=> t7 = 49+7

t7 = 56

7th term = 56

Answer:-

Common difference for the given problem is 7

7th term of the given problem is 56

Used formula:-

• Common difference = tn - t(n-1)
• tn = nth term
• t(n-1) = (n-1) th term