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How to find the nth term of a quadratic sequence?

Find the difference between each term in the sequence. Then find the second difference, i.e. the difference between each of the primary differences. Divide this by 2, to give you the coefficient of n^2. Now ...
SK
Answered by Sawan K. • Maths tutor
7782 Views

Give the possible values of x when x^2 - 5x + 4 = 0

First, when faced with a question like this you must factorise the expression. So we need to factorise x 2 -5x+4 into 2 linear parts. (Linear terms are terms without any powers of x). To do this, we need to ...
SD
Answered by Sam D. • Maths tutor
6409 Views

Question: Expand (p + 2)(p - 5)

Expanding - or geting rid of brackets. Make sure you multiply everything by everything! Correct: p 2 +2p -5p -10 = p 2 -3p -10 Wrong: p 2 + 2p -5 ...forgot that the -5 also needs to be multiplied by (p+2) Wr...
AN
Answered by Abdul N. • Maths tutor
12422 Views

In a pack of sweets, the ratio of red to blue sweets is 7:5. If there are 25 blue sweets, how many red sweets are there?

Ratios are used to show how things are shared. A ratio of 7:5 means that for every 7 red sweets there are 5 blue sweets. Step 1 - 7 + 5 = 12 This means there are 12 parts to the ratio Step 2 -Blue sweets = 7...
HM
Answered by Holly M. • Maths tutor
6753 Views

A bag contains only 8 beads. The beads are identical in all respects except colour. 3 of the beads are black and the other 5 beads are white. A bead is taken at random from the bag and not replaced. A second bead is then taken at random from the bag. What

There are 8 beads in total; 3 out of 8 are black; 5 out of 8 are white. When the first bead is taken, there is a 3/8 chance of the bead being black, since 3 out of the 8 beads are black. Since the bead is no...
AC
Answered by Adam C. • Maths tutor
7556 Views