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# Find the Common Difference and Write the Next Four Terms of Each of the Following Arithmetic Progressions: 1, −2, −5, −8, ... - CBSE Class 10 - Mathematics

#### Question

Find the common difference and write the next four terms of each of the following arithmetic progressions:

1, −2, −5, −8, ...

#### Solution

In the given problem, we need to find the common difference and the next four terms of the given A.P.

1, −2, −5, −8, ...

Here, first term (a1) =1

Common difference (d) = a_2 - a_1

= -2 -1

= -3

Now, we need to find the next four terms of the given A.P

That is we need to find a_5, a_6, a_7, a_8

So, using the formula  a_n = a + (n - 1)d

Substituting n = 5 we get

a_5 = 1 + (5 -1)(-3)

a_5 = 1 - 12

a_5 = -11

Substituting = 6we get

a_6 = 1 + (6 - 1)(-3)

a_6 = 1 - 15

a_6 = -14

Substituting = 7we get

a_7 = 1 + (7 - 1)(-3)

a_7 = 1 - 18

a_7 = -17

Substituting = 8we get

a_8 = 1 + (8 - 1)(-3)

a_8 = 1 - 21

a_8 = -20

Therefore, the common difference is d = -3 and the next four terms are -11, -14, -17, -20

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Solution Find the Common Difference and Write the Next Four Terms of Each of the Following Arithmetic Progressions: 1, −2, −5, −8, ... Concept: Arithmetic Progression.
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