A rugby team played six games. The mean score for the six games is 14.5.

The rugby team played one more game.
The mean score for all seven games is 16

Work out the number of points the team scored in the seventh game.

25

Step-by-step explanation:

Total score for 6 games : 14.5 × 6 = 87

Total score for 7 games : 16 × 7 = 112

112 - 87 = 25

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.