Higher November 2021 Paper 3 Q5
5 The first four terms of a Fibonacci sequence are
\(a \qquad 2a \qquad 3a \qquad 5a\)
The sum of the first five terms of this sequence is 228
Work out the value of \(a\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 12 | P1 | for a process to find the fifth term, eg \(3a + 5a\ (= 8a)\) |
| P1 | for setting up the equation eg \(a + 2a + 3a + 5a + [8a] = 228\) | |
| A1 | cao |
Additional guidance
[\(8a\)] allow use of what is clearly indicated as the missing term
\(\dfrac{228}{19}\) or \(\dfrac{228}{1+2+3+5+8}\) scores P1 P1
\(\dfrac{228}{1+2+3+5+[8]}\) scores P0P1