L.O- To continue and describe a number sequence
S.C1) I can continue and describe a sequence using addition and subtraction
2) I can continue and describe a sequence using multiplication and division
KEY EXAMPLE
What is the term-to-term rule for this number sequence?
5
8
+3
11
+3
14
+3
You can see from the ‘loops’ that the term-to-term rule is +3
For each of these challenges, show your working in your book using the
‘loops’, then write your answers on the sheet.
STAR CHALLENGE – Find the term-to-term rule and write
down the next three terms of the sequence
1) 4, 9, 14, 19, _____, _____, _____
Rule: _______
2) 3, 5, 7, 9, _____, _____, _____
Rule: _______
3) 10, 14, 18, 22, _____, _____, _____
Rule: _______
4) 18, 15, 12, 9, _____, _____, _____
Rule: _______
5) 25, 21, 17, 13, _____, _____, _____
Rule: _______
6) 1, 7, 13, 19, _____, _____, _____
Rule: _______
7) 32, 27, 22, 17, _____, _____, _____
Rule: _______
8) 4, 16, 28, 40, _____, _____, _____
Rule: _______
9) 28, 22, 16, 10, _____, _____, _____
Rule: _______
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MOON CHALLENGE – Find the term-to-term rule and write
down the next three terms of the sequence
1) 17, 25, 33, 41, _____, _____, _____
Rule: _______
2) 45, 39, 33, 27, _____, _____, _____
Rule: _______
3) 12, 9, 6, 3, _____, _____, _____
Rule: _______
4) 1, 2, 4, 8, _____, _____, _____
Rule: _______
5) 4, 12, 36, _____, _____, _____
Rule: _______
6) 160, 80, 40, _____, _____, _____
Rule: _______
7) -22, -19, -16, _____, _____, _____
Rule: _______
8) 8, 4, 2, _____, _____, _____
Rule: _______
SUN CHALLENGE - Find the term-to-term rule and write
down the next two terms of the sequence
1) 0.4, 0.9, 1.4, 1.9, _____, _____
Rule: _______
2) 8, 5, 2, _____, _____
Rule: _______
3) 4, 27, 50, _____, _____
Rule: _______
4) 4.8, 2.4, 1.2, _____, _____
Rule: _______
5) 2, 8, 32, _____, _____
Rule: _______
6) 0.6, 1.8, 5.4, _____, _____
Rule: _______
7) -2, -1.5, -1, _____, _____
Rule: _______
8) 6, 3, 1.5, _____, _____
Rule: _______
SUPER CHALLENGE: 1, 1, 2, 3, 5, 8, _____, _____, _____
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