Skip to content

Course home

1.6.7 Generate a sequence by formula or recurrence (A-level only)

1.6.7 Generate a sequence by formula or recurrence (A-level only)

EasyMedium
123456789101112131415161718192021222324
Question 3

A sequence x1,x2,x3,… x_1, x_2, x_3, \dots\,x1​,x2​,x3​,… is defined by

x1=axn=3xn−1+2,n≥2 \begin{aligned}x_1 &= a \\x_n &= 3x_{n-1} + 2, \quad n \geq 2\end{aligned} x1​xn​​=a=3xn−1​+2,n≥2​
a.

Find an expression for x2 x_2\,x2​ in terms of aaa.

[1]
b.

Show that x3=9a+8x_3 = 9a + 8x3​=9a+8.

[2]
c.

Find ∑r=14xr\sum_{r=1}^4 x_r∑r=14​xr​ in terms of aaa.

[3]
Markscheme

1.6.7 Generate a sequence by formula or recurrence (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.6.7 Generate a sequence by formula or recurrence (A-level only)

35 exam-style questions on OCR (MEI) A Level Maths 1.6.7 Generate a sequence by formula or recurrence (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank