AR of recursive rule — task. Mathematics CBSE, Class 9 New.

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Assertion (A): For a sequence defined by the recursive rule \(t_1 = 3\) and \(t_n = 2t_{n-1} + 1\) (for \(n \ge 2\)), the third term \(t_3\) is \(15\).

Reason (R): An explicit rule allows us to discover any term in a sequence directly without evaluating its preceding terms.

Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true but (R) is not the correct explanation of (A).
(A) is true but (R) is false.
(A) is false but (R) is true.

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2. AR of recursive rule

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