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# Which of the Following Sequences Are Arithmetic Progressions? for Those Which Are Arithmetic Progressions, Find Out the Common Difference. −225, −425, −625, −825, ... - CBSE Class 10 - Mathematics

#### Question

Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.

−225, −425, −625, −825, ...

#### Solution

In the given problem, we are given various sequences.

We need to find out that the given sequences are an A.P or not and then find its common difference (d)

−225, −425, −625, −825, ...
Here

First term (a) = −225

a_1 = -425

a_2 = -625

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

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

Here

a_1 - a = -425 - (-225)

= -200

Also

a_2 - a_1 = -625 - (-425)

= -200

Since a_1 - a = a_2 - a_1

Hence, the given sequence is an A.P and its common difference is d = -200

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Solution Which of the Following Sequences Are Arithmetic Progressions? for Those Which Are Arithmetic Progressions, Find Out the Common Difference. −225, −425, −625, −825, ... Concept: Arithmetic Progression.
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