Page 222 - Math Smart - 7

b) Complete the following table.

Pattern number 1 2 3 4 5
Total number of tiles
5 9
Write down the term-to-term rule. Use the table to help you.

Add two rows to the table as shown below to determine Ti, J2, T3, T4, T5 and T^, the formula for
finding the number of tiles needed in Pattern n.

Pattern number 1 2 3 4 5
Number of tiles
5 9
Multiples of...

Multiples of ... + ...

d) How many tiles would be needed for Pattern 52?

nevision

Write down the next two and the term-to-term rule for each of the following sequences.
a) -7.0,7,14,21,... b) 125, 121, 117, 113, 109, ...
c) 20,31,42,53,64, ... d) 2,9, 16,23,30, ...
e) 4,1,-2,-5,-8,... f) -23,-19,-15,-11,-7, ...
g) 88,79,70,61,52,... h) 8,4,2,1, 1, i, ...

i) 1,9,25,49,81,... j) -2,0,4, 10, 18, ...
O Use the given rules to find the first four terms in each of these number patterns.

a) Start with 0 and add 4 to each consecutive term.
b) Start with 243 and divide each consecutive term by 3.
c) Start with 11 and add ^ to each consecutive term.
d) Start with 1 and multiply each consecutive term by 0, 5.
For each of the following sequences, find a formula for the general term of the
sequence (Tn) and hence, find the 200^'^ term.

a) 6,9,12,15,... b) 5, 14, 23, 32, ...
c) 10, 12, 14, 16, ... d) 25, 26, 27, 28, ...

e) 1,4,9,16,... f) 2 2 1 3 3 1
O Look at this number sequence: 9, 16, 25, 36, 49, ...
a) Write down the next two terms of the sequence.
b) Find, in terms of n, the formula for the term (Tn) of the sequence.
c) Hence, find the 30'^ term.

JNIT9 Terms and Sequences