1, 1, 2, 2, 3, 3,... 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 = 2

t₄ = 2

Calculating the difference, we get the value as,

t₂ - t₁ = 1 -1 = 0

t₃ - t₂ = 2 - 1 = 1

t₄ - t₃ = 2 - 2 = 0

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. 1,3,5,7,.....................

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

NCERT Exemplar Class 10 Maths Exercise 5.2 Problem 1 (iii)

1, 1, 2, 2, 3, 3,... 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 1, 1, 2, 2, 3, 3,...does not form an AP

☛ Related Questions:

• 11, 22, 33,...form an AP? Justify your answer
• 1/2, ⅓ , ¼….. form an AP? Justify your answer
• 2, 2² , 2³ , 2⁴, ... form an AP? Justify your answer