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Home/Tag: Geometric Series
10 08, 2015

## Exam Style Problems

Exam Style Problems Don planted a Grevillia hedge. The plants were 20cm when he planted them. After 1 year they were 1m tall. The next year they grew 60% of the previous year’s growth to a height of 148cm. They continued to grow 60% of the previous years growth [...]

10 08, 2015

## Challenging GP

Challenging GP Given that the sum and the product of the first two terms of a G.P are 1/8 and -3/32 find the sum to infinity. a + ar = 1/8   →    ar = 1/8  - a a(ar) = -3/32 a(1/8  - a) = -3/32 a/8 - a2 [...]

10 08, 2015

## Combined AP & GP

Combined AP & GP worked examples In an A.P. and a G.P., the first terms are both 3. The second term of the sequences are equal and the third term of the G.P. is 3 more than the third term of the A.P. Find the sequences. a = [...]

10 08, 2015

## Challenging Series

Exam Style Questions In an Arithmetic Progression, whose first term and common difference are both non-zero, Un denotes the nth term and Sn denotes the sum of n terms. If U6, U4 and U10 form a Geometric Progression: i. Show that S10 = 0 ii. Show that S6 + S12 =0 iii. Show [...]

10 08, 2015

10 08, 2015

## Finance

Sigma Notation: Geometric worked examples  Evaluate. $\sum\limits_{r = 0}^5 {{{3.2}^r}}$.     r = 0: 3 × 20 = 3 r = 1: 3 × 21 = 6 r = 2: 3 × 23 = 12 find the first three terms to see that it forms a geeometric progression  - which will happen when it is exponential (ie the [...]