The -2n sequence is simply the negative 2 times table. We need to add 10 to each of these terms to make the original sequence, so the nth term is -2n + 10. For example, in the sequence 8, 6, 4, 2, 0… the terms decrease by 2 so we start by writing -2n. If a sequence is decreasing from one term to the next, the number in front of n in the nth term will have a negative sign. Write this after the answer to step 2: ‘4n – 1’.Īnd so the nth term of our sequence is 4n – 1. Subtract the difference from the 1st term: 3 – 4 = -1. Write this difference with an ‘n’ after it: ‘4n’. Find the common difference: The terms increase by 4 each time.
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