CBSE Class 10CBSE
Share
Notifications

View all notifications

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

Login
Create free account


      Forgot password?

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

  Is there an error in this question or solution?

APPEARS IN

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.
S
View in app×