### Video Transcript

Find the next term in this
sequence. 51, 102, 153. What’s next?

The first question we should ask is
what is being added to each term. Last time, that was really easy
because it was two. If you don’t immediately recognise
what’s being added, here’s what you can do. You can take the term in the second
position and subtract the term in the first position. 102 minus 51 is 51. You could also subtract 102 from 53
or the position two number from the position three number. Both of these equal 51. 51 is what is being added each
time.

To find the next term, we need to
take the third term, 153, and add 51 to that. The next term in this sequence is
204. Here’s what a table for this
sequence would look like. The operation here would be to take
the position and multiply it by 51 because 51 is what we’re adding here. 51𝑛 would be the expression that
we could use to take any position and find its value.