Edexcel A-Level Mathematics AS P2.4.4 Geometric Sequences and Series Questions

Practise Edexcel IAL Mathematics P2.4.4 by modelling repeated growth or decay, applying geometric-series formulae and using logarithms to find threshold terms.

Exam points

apply geometric sums to repeated growth or decay contexts
use logarithms or inequalities to find the first term number meeting a bound

[Maximum number: 3]

Find the value of

\sum_{r=1}^{\infty} 6 \times(0.25)^{r}

(3)

r=0.25
$S_{\infty}=\frac{1.5}{1-0.25}=2$
(3)

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Edexcel A-Level Mathematics AS P2.4.4 Geometric Sequences and Series Questions question 1