0, 2, 0, 2, ... 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 = 0
t₂ = 2
t₃ = 0
t₄ = 2
Calculating the difference, we get the value as,
t₂ - t₁ = 2 - 0 = 2
t₃ - t₂ = 0 - 2 = -2
t₄ - t₃ = 2 - 0 = 2
The difference between each successive term is not the same.
Therefore, the given list of numbers does not form an AP.
✦ Try This: Which of the following forms an AP? Justify your answer. 0,4,0,4,..................
The given AP is 0,4,0,4,..................
From the question, we have,
t₁ = 0
t₂ = 4
t₃ = 0
t₄ = 4
Calculating the difference, we get the value as,
t₂ - t₁ = 4 - 0 = 4
t₃ - t₂ = 0 - 4 = -4
t₄ - t₃ = 4 - 0 = 4
The difference between each successive term is not the same.
Therefore, the given list of numbers does not form an AP.
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5
NCERT Exemplar Class 10 Maths Exercise 5.2 Problem 1 (ii)
0, 2, 0, 2, ... form an AP? Justify your answer
Summary:
An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. A given list of numbers 0, 2, 0, 2, ... does not form an AP
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