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Starter – Sequences bingo. Pick 9 numbers, no repeats. Sequence Bingo. Choose 9 Numbers and fill them into your 3x3 Grid. +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10. What is the common difference?. 3, 11, 19, 27. What is the common difference?.
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Choose 9 Numbers and fill them into your 3x3 Grid. +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10
What is the common difference? 3, 11, 19, 27
What is the common difference? -3, -9, -15, -21
What is the common difference? 21, 18, 15, 12
What is the common difference? 5, 7, 9, 11
What is the common difference? 103, 93, 83, 73
What is the common difference? 23, 18, 13, 8
What is the common difference? -2, 2, 6, 10
What is the Starting Number of the Sequence ? 9, 11, 13, 15
What is the common difference? 1, 7, 13, 19
What is the common difference? 65, 66, 67, 68
What is the common difference? 7, 10, 13, 16
What is the common difference? -1, -2, -3, -4
What is the common difference? 12, 4, -4, -12
Finding the nth term of a linear sequence +3 +3 +3 +3 +3 +3 +3 × 3 × 3 × 3 × 3 × 3 + 1 + 1 + 1 × 3 + 1 + 1 + 1 The terms in this sequence 4, 7, 10, 13, 16, 19, 22, 25, … can be found by adding 3 each time. Compare the terms in the sequence to the multiples of 3. 2 3 4 5 n Position 1 … Multiples of 3 3 6 9 12 15 3n … Term 4 7 10 13 16 3n + 1 Each term is one more than a multiple of 3.
What is the term to term rule? What is the nth term rule? What would the 10th number in the sequence be?
For each sequence decide which of these tasks will challenge you:- • Write down the next two numbers in the sequence • Match the sequence to the term to term rule. • Match the sequence to the 10th term. • Match the sequence to the nth term rule. • Use the nth term rule to find the 50th number in the sequence.
Plenary task Choose one of these nth term rules and write down the first 5 terms of the sequence on your mini whiteboard. • 4n • 6n – 5 • -2n + 6