Find the next term in the sequence: twenty-eight thirty-seven forty-six fifty-five
sixty-four. So we’ve been given five terms in a sequence. The first term is twenty-eight, the second term is thirty-seven, the third term forty-six, the fourth term is fifty-five, and the fifth term is sixty-four.
Now the fact that it’s been called a sequence tells us that there must be some
sort of pattern that takes you from one number to the next number, some sort of common pattern
that’s going on.
Well if I look at the first term and the second term, twenty-eight and
thirty-seven, if I add nine to twenty-eight, I get thirty-seven. And also if I add nine to
thirty-seven, I get forty-six. If I add nine to forty-six, I get fifty-five. And if I add nine to
fifty-five, I get sixty-four.
So my pattern is that, to get from one term to the next term, I add nine. So to find the next term in my sequence, the sixth term, I need to add nine to
And that will give me seventy-three. So the answer is seventy-three. Now just a little bit of terminology before we go, in this kind of sequence where
you add a constant number to each term to get the next term is called an arithmetic sequence.