NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 1: Number System - Multiple Choice Questions
Question 4

Question.  4

Next three consecutive numbers in the pattern 11, 8, 5, 2, ––, ––, –– are

(a)

0, –3, –6

(b)

–1, –5, –8

(c)

–2, –5, –8

(d)

–1, –4, –7

Detailed Answer with Explanation:

Explanation (step by step):

The numbers are going down by the same amount each time.

This amount is called the common difference.

From (11) to (8):

(11 - 3 = 8)

From (8) to (5):

(8 - 3 = 5)

From (5) to (2):

(5 - 3 = 2)

So the common difference is (-3).

Next numbers are found by subtracting (3) each time.

From (2) to the next term:

(2 - 3 = -1)

Next:

(-1 - 3 = -4)

Next:

(-4 - 3 = -7)

So the next three numbers are:

(-1, -4, -7)

Correct option: d

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 1: Number System – Multiple Choice Questions | Detailed Answers