Video: GCSE Mathematics Foundation Tier Pack 2 • Paper 1 • Question 2

GCSE Mathematics Foundation Tier Pack 2 • Paper 1 • Question 2

01:29

Video Transcript

What is the 17th positive even number?

The first even number is two, the second one is four, and the third one is six. In fact, the even numbers are just the two times table, as one multiplied by two is equal to two, two multiplied by two is equal to four, and three multiplied by two is equal to six.

We can go one step further than this and say that all even numbers follow the pattern or sequence two 𝑛, two multiplied by 𝑛, where 𝑛 is equal to one, two, three, and so on. This means that, in order to work out the 17th positive even number, we need to multiply 17 by two.

Seven multiplied by two is equal to 14. We put the four in the answer box and carry the one. Two multiplied by one is equal to two. Adding the one gives us three. Therefore, 17 multiplied by two is equal to 34. We can therefore say that the 17th positive even number is 34.

An alternative method would be to list all the even numbers from two all the way up to the 17th one, which is equal to 34. However, in this case, it is quicker to multiply 17 by two.

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