Maths Internal Assessment -triangular and stellar numbers

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Maths Internal Assessment

Term 2 2011

Question 1:

Complete the triangular numbers sequence with three more terms.

The table below summarises the data (above) into a table so it is easier to analyse.

Term (Tn)

1

2

3

4

5

6

7

8

No. of Dots

1

3

6

10

15

21

28

36

Question 2:

Find a general statement that represents the nth triangular number in terms of n.

The table below shows the connection and calculation between the term and the number of dots for the given triangular numbers.

Term

Row

Calculation

Answer

N1 (1st)

1st row = 1

1

1

N2 (2nd)

1st row = 1

2nd row = 2

1 + 2

3

N3 (3rd)

1st row = 1

2nd row = 2

3rd row = 3

1 + 2 + 3

6

N4 (4th)

1st row = 1

2nd row =