Edexcel Core Mathematics C2 June 2009

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Questions and Video Solutions for C2 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C2 June 2009 Past Paper

(a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of
(2 + kx)⁷ where k is a constant. Give each term in its simplest form.
Given that the coefficient of x² is 6 times the coefficient of x,
(b) find the value of k.

(a) Complete the table below, giving values of √(2^x + 1) decimal places.
Figure 1 shows the region R which is bounded by the curve with equation y = √(2^x + 1) , the x-axis and the lines x = 0 and x = 3
(b) Use the trapezium rule, with all the values from your table, to find an approximation for the area of R.
(c) By reference to the curve in Figure 1 state, giving a reason, whether your approximation in part (b) is an overestimate or an underestimate for the area of R.

The third term of a geometric sequence is 324 and the sixth term is 96
(a) Show that the common ratio of the sequence is 2/3
(b) Find the first term of the sequence.
(c) Find the sum of the first 15 terms of the sequence.
(d) Find the sum to infinity of the sequence.