Page 212 - Math Smart - 7

©* Challenge! Write down the next two terms in each of these algebraic sequences.

a) X, 2x, 3a', 4x, ...
b) jr + 1, A + 3, a: + 5, a: + 7, ...
c) 2a:, Zy + 2, 2a: + 4, 2a: + 6, ...
d) 3x-1,6A-1,9.r-1, IZv-l, ...
e) xy, Axy, 9a:t, ^6xy. ...
f) ab, Sab, 27ab, 64ab, ...

O The rule in each sequence is to add the same number to each term to get the next term.
Find the missing numbers.
a) 10, on, □,22, ... b) 8,0000050, ... c) 3,000^^

O The rule of each sequence is to subtract the same number from each term to get the next term.

Find the missing numbers.
a) 40,00034, ... b) 90,ODD50. ...
0 i3,odddddd-3 d) -2,onn-26

© Look at the number sequence.
42, 22, 18, 22, ...
12 = 4 X 2 + 14

= 8+14
= 22
We say that the term-to-term rule in the sequence is to 'multiply the digits in each term and add 14' to
find the next term.
a) Find the next four terms in the sequence.
b) What is the 20'^ term in the sequence?

Terms and Sequences
I