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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, ... - Mathematics

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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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 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 5: Arithmetic Progression
Ex. 5.3 | Q: 6.08 | Page no. 11
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 5: Arithmetic Progression
Ex. 5.3 | Q: 6.08 | Page no. 11
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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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