The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.
- (a)(i)The nth term of a sequence is given by n² – 5n. Find the 2nd term in the sequence.[1]
- (a)(ii)The pth term in the sequence is 150. Find the value of p.[2]
- (b)The nth term of another sequence is given by 3n² – kn. The 5th term in this sequence is 55. Find the value of k.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] (a) (i) -6
- [2*] (a) (ii) 15 C1 for 15^2 - 5 × 15 or for 15, -10 OR M1 for (p + 10)(p – 15) [= 0]
- [2*] (b) 4 B1 for 3 × 5^2 - 5k = 55 oe
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