nth term questions

Alternative transcript:

n, an expression for the nth term of this sequence. (2) (2) N (2) 5. 6. A sequence of numbers is shown. 16 23 30 2 9 (a) Find an expression for the nth term of the sequence. (b) Find the 100th term in the sequence. The nth term of a number sequence is n² + 3. (a) Find the first three terms of this sequence. 1st term 2nd term 3rd term (b) Work out the difference between the 5th and 10th terms in the sequence. (2) (2) 2 (3) 7. 8. The first 5 terms in a number sequence are 10 7 4 1 -2 (a) Work out the nth term of the sequence. (b) Find the 50th term of the sequence. Work out the nth term for this sequence 12 22 32 42 52 (2) (2) N 9. The nth term of a sequence is 3n-2 (a) Write down the first two terms of this sequence. 1st term (b) Which term of the sequence is equal to 70? (c) Explain why 101 is not a term in the sequence. 2nd term 2 (2) (2) 10. Here are the nth terms of 4 sequences. Sequence 1 Sequence 2 Sequence 3 Sequence 4 nth term nth term nth term nth term A S N 3n + 1 5n + 10 10n 5n -1 For each sequence state whether the numbers in the sequence are Always multiples of 5 Sometimes multiples of 5 Never multiples of 5 Sequence 1 Sequence 2 Sequence 3 Sequence 4 (4) 11. The nth term of a sequence is 5-3n 12. Write down the first three terms of the sequence. 1st term 2nd term The nth term of a sequence is 4n - 7 (a) Write down the first three terms of the sequence. 1st term 2nd term (b) What is the difference between the 50th and 51st terms? The last term of this sequence is 393. (c) How many terms are there in this sequence? 3rd term 3rd term (2) (2) (1) (2) 13. 14. Find the nth term of the sequences (a) 1, 4, 9, 16, 25, ... (b) 3, 6, 11, 18, 27, ... (c) -3, 0, 5, 12, 21, (d) 2, 8, 18, 32, 50, The first 5 terms in a number sequence are 30 25 20 15 10 Work out the nth term of the sequence. (1) (1) (1) (1) (2) 15. 16. The first 5 terms in a number sequence are 2 2.5 3 3.5 4 (a) Work out the nth term of the sequence. (b) Work out the 20th term of the sequence. Martin has written the first 50 terms of the sequence with nth term 150 - 4n. Work out which term is the first negative term. (2) (2) (3) 17. The nth term of a sequence is (n + 1)(n+3) Work out the first three terms of the sequence. 1st term 2nd term 3rd term (2)