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Question
Justify whether it is true to say that `-1, - 3/2, -2, 5/2,...` forms an AP as a2 – a1 = a3 – a2.
Options
True
False
Solution
This statement is False.
Explanation:
a1 = – 1, a2 = `-3/2`, a3 = `-2` and a4 = `5/2`
a2 – a1 = `-3/2 - (-1) = - 1/2`
a3 – a2 = `- 2 - (-3/2) = -1/2`
a4 – a3 = `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.
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