Home › CBSE Class 9 › mathematics › c9sequencebasics › Per NCERT, what is a RECURSIVE rule for a sequen…
Per NCERT, what is a RECURSIVE rule for a sequence?
AA rule that gives the sum of all terms
BA rule that has no formula
CA rule that defines each term in relation to one or more PREVIOUS terms (e.g. tₙ = tₙ₋₁ + 3 with t₁ = 1)
DA rule that uses only the position number
Answer & Solution
Correct answer: C. A rule that defines each term in relation to one or more PREVIOUS terms (e.g. tₙ = tₙ₋₁ + 3 with t₁ = 1)
Per NCERT §8.3, recursive rule = each term in terms of previous term(s). The other options misstate.
Related questions
Per NCERT, to check if a given number 137 is a term of the odd-number sequence (explicit rPer NCERT, what does the notation tₙ in a sequence represent?Per NCERT, who first explicitly wrote down and studied the Virahānka-Fibonacci sequence — Per NCERT, the VIRAHĀNKA-FIBONACCI sequence is defined by V₁ = 1, V₂ = 2, Vₙ = Vₙ₋₁ + Vₙ₋₂Per NCERT, what is the next term after 1, 4, 7, 10, 13 — using the recursive rule tₙ = tₙ₋Per NCERT, the explicit rule tₙ = 2n − 1 generates which sequence?Per NCERT, what is the EXPLICIT rule of a sequence?Per NCERT, the difference between consecutive SQUARE numbers (1, 4, 9, 16, 25, ...) gives