Page 14 - 新思维数学学生用书4 样章
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1.1 Counting and sequences
5 Use different first terms to make sequences that all have the
term-to-term rule ‘add 3’.
Can you find a sequence for each of the following?
a Where the terms are all multiples of 3.
b Where the terms are not whole numbers.
c Where the terms are all odd.
d Where the terms include both 100 and 127.
6 Abdul makes a number sequence.
The first term of his sequence is 397.
His term-to-term rule is ‘subtract 3’.
Abdul says, ‘If I keep subtracting 3 from 397 I will eventually reach 0.’
Is he correct?
Explain your answer.
7 Which sequences are linear and which are not?
Write the next term for each sequence.
Explain your answers to your partner.
a Add five: 4, 9, 14, ...
b Subtract four: 20, 16, 12, ...
c Add one more each time: 2, 3, 5, ...
d Multiply by three: 2, 6, 18, ...
e Subtract one less each time: 50, 41, 33, ...
f Divide by two: 32, 16, 8, ...
8 Here is a spatial pattern.
Draw the next term in the pattern.
What number does it represent?
13
