©MathsWatch
Clip 104
Grade 3 questions
1)
Special Sequences
What is the term to term rule for each sequence, below?
a) 1, 4, 16, 64, 256
b) 6, 12, 24, 48, 96
c) 80, 40, 20, 10, 5
d) 48, 12, 3, 0.75, 0.1875
2)
a) What is the special name for this sequence?
1, 4, 9, 16, 25
b) What would be the 10th term of the sequence?
c) What is the nth term of the sequence?
3)
By comparing the following sequences with the sequence of square numbers,
find the nth term for each one.
a) 4, 7, 12, 19, 28
b) -1, 2, 7, 14, 23
c) 3, 12, 27, 48, 75
4)
a) What is the special name for this sequence?
1, 3, 6, 10, 15
b) What would be the 8th term of the sequence?
c) What is the nth term of the sequence?
d) Use the nth term to work out the 21st term of the sequence.
Page 104
©MathsWatch
Clip 104
Special Sequences
Grade 3 answers
1)
What is the term to term rule for each sequence, below?
a) 1, 4, 16, 64, 256 Multiply by 4
b) 6, 12, 24, 48, 96 Multiply by 2
c) 80, 40, 20, 10, 5
Divide by 2
d) 48, 12, 3, 0.75, 0.1875
2)
Divide by 4
a) What is the special name for this sequence?
1, 4, 9, 16, 25
Square numbers
b) What would be the 10th term of the sequence?
100
c) What is the nth term of the sequence? n2
3)
By comparing the following sequences with the sequence of square numbers,
find the nth term for each one.
a) 4, 7, 12, 19, 28
n2 + 3
b) -1, 2, 7, 14, 23
n2 − 2
c) 3, 12, 27, 48, 75
4)
3n2
a) What is the special name for this sequence?
1, 3, 6, 10, 15
Triangular numbers
b) What would be the 8th term of the sequence? 36
n(n + 1)
c) What is the nth term of the sequence?
2
d) Use the nth term to work out the 21st term of the sequence. 231
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