Page 211 - Math Smart - 7

Q 512, 256, 128, 64, 32, Think and Share

■r2 ^2 -rl -tI
Design your own number
a) The rule is 'divide each term by 2 to get the next term'. patterns, then ask your
b) The next two terms are 16 and ^ = 8. partner to find the
next three terms in the
o sequence.

X (-1) X (-1) X (-1) X (-1)
a) The rule is 'multiply each term by (-1) to get the next term'.
b) The next two terms are 1 and -1.

Check My

Understanding

O For each sequence, write down the term-to-term rule and the next two terms,
a) The powers of two: 1, 2, 4, 8, 16, ...
1.^ 2, ^4, ^8,^ 16^ _ ^ ' ■"

x2 x2 X2 x2 ...

b) The multiples of five: 5, 10, 15, 20, 25, ...
c) The powers of five: 1, 5, 25, 125, 625, ...
^ For each of these number sequences, write down the term-to-term rule and the next two terms,

a) 7,9,11,13, ... b) 9. 12, 15, 18, ...
c) 5,6,8,11,15, ... d) 100,99,96,95,92, ...
e) 30,43,56,69, ... f) 97,94,91,88, ...
g) 15,8,1,-6, ... h) -11,-15, -19, -23, ...
i) 2,7,12,17,22, ... j) 2, 0, -2, -4, -6, ...

k) 12,36, 108,324,972, ... I) 540, 320, 160, 80, 40,
O Write the next three terms In each of these number sequences,

a) 5,7,9, 11, ... b) 11, 16,21,26, ... c) 10,2, 10,4, 10,6, 10,8,
d) 98,90,82,76, ... e) 24,17,10,3, ... f) 4,9,16,25, ...
O Find the missing terms in each of these number sequences.

a) 18, 15, 1 I 9, 6, 1 to. I I

b) 32, 1 i 50, 1 l 68, 1 I
c) I i 109, 100, 91,1 11 i I I