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

Answered by Kate S. Maths tutor

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