Mathematics
Given is a sequence of three terms : -1, -5, -9,……
Assertion (A): They are consecutive term of an arithmetic progression.
Reason (R): Difference between two successive term is -3.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
A.P.
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Answer
Given sequence : -1, -5, -9,……
Difference between 2nd term and 1st term,
⇒ a2 - a1 = -5 - (-1)
= -5 + 1 = -4
Difference between 3rd term and 2nd term,
⇒ a3 - a2 = -9 - (-5)
= -9 + 5 = -4.
Since, difference between consecutive terms is equal.
Thus, the given sequence is in arithmetic progression with common difference -4.
Thus, Assertion (A) is true, but Reason (R) is false.
Hence, option 1 is the correct option.
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