Find the 16th term in the following sequence: 3, 5, 7, 9, 11

First find the nth term of the sequence. Start by finding the difference between each term:

3, 5, 7, 9, 11 - the difference between each is 2 therefore it is 2n but this alone gives the sequence: 2, 4, 6, 8...

Substitute n to fix this e.g. 2 x 1 = 2 so we must +1 to make the first term 3

This makes the nth term of the sequence 2n + 1

To find the 16th term substitute n with 16:

2 x 16 + 1 = 32 + 1 = 33 This is the final answer

KS

Related Maths GCSE answers

All answers ▸

Show that the two lines are parallel: L1: 4y = 24x +12, L2: 2y + 13 = 12x


Solve 3x² + 6x – 2 = 0. Give your solutions correct to 2 decimal places [calculator paper]


3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.


There are 10 boys and 20 girls in a class. The mean mark in a test for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.