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The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics C2 Advanced January 2012. Try out the Past paper for Edexcel C2 January 2012 and check out the video solutions if you need any help.

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C2 Edexcel Core Mathematics January 2012 Question 1

Geometric Series

1. A geometric series has first term a = 360 and common ratio r = 7/8

Giving your answers to 3 significant figures where appropriate, find

(a) the 20th term of the series,

(b) the sum of the first 20 terms of the series,

(c) the sum to infinity of the series.

Circle Coordinate Geometry

2. A circle C has centre (−1, 7) and passes through the point (0, 0). Find an equation for C.

Binomial Expansion

3. (a) Find the first 4 terms of the binomial expansion, in ascending powers of x, of

(1 + x/4

giving each term in its simplest form.

(b) Use your expansion to estimate the value of (1.025)^{8} giving your answer to 4 decimal places.

Logarithms

4. Given that y = 3x

(a) show that log

(b) Hence, or otherwise, solve the equation 1 + 2 log_{3}x = log_{3} (28x -9)

Remainder Theorem

f(x) = x

Given that when f(x) is divided by (x + 2) the remainder is 7,

(a) show that 2a - b = 6

Given also that when f(x) is divided by (x −1) the remainder is 4,

(b) find the value of a and the value of b.

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