Fibonacci-style sequence with unknowns

GCSE · Mathematics · Edexcel · A23 — Generate sequences from term-to-term and position-to-term rules

Question

Q. A sequence is generated by the rule: each term after the second is the sum of the two preceding terms. The first term is $a$ and the second term is $b$ . The fifth term of the sequence is $11$ and the sixth term is $18$ . (a) Show that the first six terms can be written as $a, b, a+b, a+2b, 2a+3b, 3a+5b$ . (2 marks) (b) Find the values of $a$ and $b$ . (3 marks)

5 marks · take your time before peeking.

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Generated by TopMyGrade AI · cross-check official sources before relying on the mark-scheme phrasing.