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Further Mathematics Paper 2, May/June. 2008  
Questions: 1 2 3 4 5 6 7 8 9 Main
General Comments
Weakness/Remedies
Strength











Question 9

(a)        The sum of the first n terms of a sequence is given by Sn = 5n2/2 + 5n/2

Write down the first four terms of the sequence and find an expression for the nth term.

(b) The equation of a circle is given by x^2 + y^2 -10x 8y + 25 = 0
            (i)          Show that the circle touches the x-axis.
            (ii)         Find the coordinates of the point of contact.

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Observation

In the (a) part, some candidates interpreted the formula as the nth term instead of the sum of the nth term.
(b) In this question, quite a number ofthe candidates were not able to recall that on the x-axis, y = O. Thus they were unable to determine the co-ordinate of the point where the circle touches the x-axis.

 

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