-1, -1, -1, -1, … form an AP? Justify your answer
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.
From the question, we have,
t₁ = -1,
t₂ = -1
t₃ = -1
t₄ = -1
Calculating the difference, we get the value as,
t₂ - t₁ = -1 + 1 = 0
t₃ - t₂ = —1 + 1 = 0
t₄ - t₃ = -1 + 1 = 0
The difference between each successive term is the same.
Therefore, the given list of numbers form an AP.
✦ Try This: Which of the following forms an AP? Justify your answer. -2,-2,-2,-2,..............
From the question, we have,
t₁ = -2,
t₂ = -2
t₃ = -2
t₄ = -2
Calculating the difference, we get the value as,
t₂ - t₁ = -2 + 2 = 0
t₃ - t₂ = —2 + 2 = 0
t₄ - t₃ = -2 + 2 = 0
The difference between each successive term is the same.
Therefore, the given list of numbers form an AP.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5
NCERT Exemplar Class 10 Maths Exercise 5.2 Problem 1 (i)
-1, -1, -1, -1, … form an AP? Justify your answer
Summary:
An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. Given a list of numbers -1, -1, -1, -1, ... form an AP
☛ Related Questions:
visual curriculum