Advertisement Remove all ads

Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference. 12, 52, 72, 73, ... - Mathematics

Sum

Which of the following sequences is arithmetic progressions. For is arithmetic progression, find out the common difference.

12, 52, 72, 73, ...

Advertisement Remove all ads

Solution

12, 52, 72, 73, ...

Here,

First term (a) = 12

a1 = 52

a2 = 72

Now, for the given to sequence to be an A.P,

Common difference (d)  `=a_1 - a = a_2 - a_1`

Here,

`a_2 -a_1 = 5^2 - 1^2`

               = 25 - 1

               = 24

Also,

\[a_3 - a_2 = 7^2 - 5^2 = 49 - 25 = 24\]

Since   `a_1 - a = a_2 - a_1`

Hence, the given sequence is an A.P with the common difference  d = 24 .

 

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.3 | Q 6.12 | Page 11
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×