Skip to content

Course home

1.7.5 Geometric sequences and series (A-level only)

1.7.5 Geometric sequences and series (A-level only)

EasyMedium
12345678910111213141516171819202122232425262728293031323334353637
Question 19

A mining operation extracts gold from a specific site. The mass of gold extracted in the first month is aaa kg, and the mass extracted in each subsequent month is a constant fraction rrr of the mass extracted in the previous month.

Given that:

  • the total mass of gold extracted in the first three months is 747474 kg
  • the total mass of gold that could theoretically be extracted if mining continued indefinitely is 128128128 kg

find, for this operation,

a.

the common ratio, rrr,

[4]
b.

the mass extracted in the first month, aaa.

[2]
Markscheme

1.7.5 Geometric sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.7.5 Geometric sequences and series (A-level only)

38 exam-style questions on AQA A Level Maths 1.7.5 Geometric sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank