Find the common difference and write the next three terms of the A.P. $3, - 2, - 7, - 12, . . . .$

Open in App

Solution

Second term - First term $= - 2 - (3) = - 5$

Third term - Second term $= - 7 - (- 2) = - 5$

So, the given sequence is an A.P. with a common difference of $- 5$ .

Since each term of an A.P. is obtained by adding common difference to the preceding term.

$∴ a_{5} = a_{4} + (- 5) = - 12 + (- 5) = - 17$

$a_{6} = a_{5} + (- 5) = - 17 + (- 5) = - 22$

and, $a_{7} = a_{6} + (- 5) = - 22 + (- 5) = - 27$

Suggest Corrections

Similar questions

Q. Find the common difference of the A.P. and write the next two terms:

75, 67, 59, 51, . . . . .

Q. Write the next two terms of the A.P. Whose first term is

3

and the common difference is

4

Check if the series is an A.P. Find the common difference

d

and write three more terms of the the following series.

2, \frac{5}{2}

3, \frac{7}{2}, . . .

Q. Question 4 (xv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xv)

1^{2}, 5^{2}, 7^{2}, 7^{3} \dots \dots

Question 4 (xiv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xiv) $1^{2}, 3^{2}, 5^{2}, 7^{2}, \dots$

Join BYJU'S Learning Program

Find the common difference and write the next three terms of the A.P. 3,−2,−7,−12,....

Find the common difference and write the next three terms of the A.P. $3, - 2, - 7, - 12, . . . .$