Core Pure - Series (1)

Question 1

What si the standard result of the series:

Answer 1

=n

Question 2

What is the standard result of the series:

Answer 2

=kn

Question 3

What is the standard result of the series:

Answer 3

Question 4

What is the standard result of the series:

Answer 4

Question 5

What is the standard result of the series:

Answer 5

(Square all the terms of the general result for r)

Question 6

What do you do with series which don’t start at r=1?

Answer 6

Work out 2 series and subtract the first off the second

Question 7

What is the number 1 rule of series?

Answer 7

You can bring the constants outside the series sign

Question 8

Generally what do you need to do with series questions?

Answer 8

Work out the series in terms of n. Then expand all the terms then use the question result to realise that you need to do algebraic long devision to take out a factor and get the desired result

Often you can take out a factor of (n+1) from the start

Question 9

If you have something on the top of a series sign that is not n what do you do?

Answer 9

Pretend it was n and use the standard results
Then substitute what the top thing was wherever you have an n