The list of numbers - 10, - 6, - 2, 2,... is
a. an AP with d = -16
b. an AP with d = 4
c. an AP with d = -4
d. not an AP

Solution:

An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. It is obtained by adding the same fixed number to its previous term.

As per the question,

a₁ = - 10

a₂ = - 6

a₃ = - 2

a₄ = 2.

The common difference (d) is found by subtracting the first and second term.

Finding the difference, we get,

a₂ - a₁ = 4

a₃ - a₂ = 4

a₄ - a₃ = 4.

a₂ - a₁ = a₃ - a₂ = a₄ - a₃ = 4.

Therefore, it’s an A.P with d = 4.

✦ Try This: Find the general term of the arithmetic progression -3, -(1/2),2….

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5

NCERT Exemplar Class 10 Maths Exercise 5.1 Problem 3

The list of numbers - 10, - 6, - 2, 2,... is, a. an AP with d = - 16, b. an AP with d = 4, c. an AP with d = - 4, d. not an AP

Summary:

An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. The list of numbers - 10, - 6, - 2, 2,... is an AP with d = 4

☛ Related Questions:

• The 11th term of the AP: -5, -5 /2 , 0, 5/ 2 , ...is, a. -20, b. 20, c. -30, d. 30
• The first four terms of an AP, whose first term is -2 and the common difference is -2, are, a. - 2, . . . .
• The 21st term of the AP whose first two terms are -3 and 4 is, a. 17, b. 137, c. 143, d. -143