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Asked by Allan

What is the nth term of the sequence.7 10 13 16 19?

We can see that the difference between each term is 3, so we know that the nth term takes the form of 3n+c, where c is some number. We find c by comparing our sequence of numbers with 3n: 3,6,9,12,15. Comparing 3 to 7 we see that we have to add 4 (we can also look at the other terms to see if this works, eg 6 and 10, 9 and 13, 12 and 16, 15 and 19). So c=4. Therefore the nth term is given by 3n+4 (we can check this works, by substituting n=1,n=2,n=3 and so on and we get back our sequence)

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22. As it goes up in 3

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22. As it goes up in 3

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