Justify whether it is true to say that -1,-32,-2,52,..... forms an AP as a2 – a1 = a3 – a2. - Mathematics

MCQ
True or False

Justify whether it is true to say that -1, - 3/2, -2, 5/2, ..... forms an AP as a2 – a1 = a3 – a2.

• True

• False

Solution

This statement is False.

Explanation:

a1 = -1, a2 = -3/2, a3 = -2 and a4 = 5/2

a2 – a= -3/2 - (-1) = - 1/2

a3 – a= - 2 - (-3/2) = -1/2

a4 – a= 5/2 - (-2) = 9/2

Clearly, the difference of successive terms in not same

All though, a2 – a1 = a3 – a2 but a4 – a3 ≠ a3 – a2

Therefore it does not form an AP.

Concept: Arithmetic Progression
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.2 | Q 2 | Page 49
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