By failing to prepare, you are preparing to fail.
/Tag: Sequences
10 08, 2015

## Exam Style Problems

By |2016-11-04T14:06:53+10:00August 10th, 2015||0 Comments

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

By |2016-11-04T14:07:29+10:00August 10th, 2015||0 Comments

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

By |2017-07-10T20:28:15+10:00August 10th, 2015||0 Comments

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

By |2016-11-04T14:12:47+10:00August 10th, 2015||0 Comments

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

## Harder Loan Repayments

By |2017-07-10T20:21:19+10:00August 10th, 2015||0 Comments

10 08, 2015

## Finance

By |2016-11-04T16:13:20+10:00August 10th, 2015||0 Comments

Finance Compound Interest When one single amount is deposited one single time and interest is compounded on that amount. Superannuation When money is put in on a regular basis - such as a superannuation fund. Loan Payments Usually when a loan (reducible) is taken out. This can also [...]

10 08, 2015

## Sigma Notation: Geometric

By |2016-11-04T16:15:47+10:00August 10th, 2015||0 Comments

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 [...]