CAIE A-Level Mathematics AS 1.6.4 Geometric Convergence Questions
Practise solving logarithmic and exponential equations within the AS mathematics syllabus.
- Syllabus
- 2028–2030
- Course
- Mathematics 9709
- Level
- AS
Exam points
- use vector notation and operations
- solve geometric problems with vectors
- interpret vector relationships
CAIE A-Level Mathematics AS 1.6.4 Geometric Convergence Questions question 1
[Maximum number: 2]
A tool for putting fence posts into the ground is called a 'post-rammer'. The distances in millimetres that the post sinks into the ground on each impact of the post-rammer follow a geometric progression. The first three impacts cause the post to sink into the ground by 50 mm,40 mm and 32 mm respectively.
Find the greatest total depth in the ground which could theoretically be achieved.
1− their 0.850
Use of sum to infinity formula with their r SOI.
Substituting a value of n into the sum formula M0.
=250
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