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# 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, ...

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#### 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?
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.3 | Q 6.12 | Page 11
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