We need to check if −5,(−5)/2,0, 5/2,… is an AP or not
Now,
Difference of 2nd and 1st term = (−5)/2−(−5)
= 𝟓/𝟐
And,
Difference of 3rd and 2nd term = 0 −((−5)/2)
= 𝟓/𝟐
Since difference is same
Hence, this sequence forms an AP.
Thus, Assertion is true
Checking Reason
Statement R (Reason): The terms of an Arithmetic Progression cannot have both positive and negative rational numbers.
This statement is incorrect
as in Assertion we proved that −5,(−5)/2,0, 5/2,… is an AP,
And it has
Positive rational numbers
Negative Rational numbers
Thus, Reason is false
Thus, Reason is false
So,
Assertion is true
Reasoning is false
So, the correct answer is (c)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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