Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths CCEA
  5. Question bank

3.3.6 Sequences and series (A-level only)

EasyMedium
1234567891011121314151617
Question 1

The first three terms of a geometric series are (3k+8)(3k+8)(3k+8), (k+8)(k+8)(k+8), and k k\,k respectively, where k k\,k is a positive constant.

a.

Show that k2−4k−32=0k^2 - 4k - 32 = 0k2−4k−32=0.

[4]
b.

Hence show that k=8k = 8k=8.

[2]
c.

Find the common ratio.

[2]
d.

Find the sum to infinity of the series.

[2]

3.3.6 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3.6 Sequences and series (A-level only)