Justify whether it is true to say that -1, -3 /2 , -2, 5/2 ,... forms an AP as a₂ - a₁ = a₃ - a₂
Solution:
False,
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,
a₁ = -1,
a₂ = -3/2,
a₃ = -2,
a₄ = 5/2.
Calculating the difference , we get,
a₂ - a₁ = -3/2 + 1 = -1/2
a₃ - a₂ = -2+3/2 = -1/2
a₄ - a₃ = 5/2+2 = 9/2.
The difference of each successive term is not the same.
a₂ - a₁ = a₃ - a₂
a - a₂ ≠ a₄- a₃
Therefore, it does not form an A.P.
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☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5
NCERT Exemplar Class 10 Maths Exercise 5.2 Problem 2
Justify whether it is true to say that -1, -3 /2 , -2, 5/2 ,... forms an AP as a₂ - a₁ = a₃ - a₂
Summary:
An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. A given list of numbers -1, -3 /2 , -2, 5/2 ,... does not form an A.P. as a₂ - a₁ = a₃ - a₂
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