#### 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

Is there an error in this question or solution?

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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, ... Concept: Arithmetic Progression.

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