Sequences T Madas T Madas sequence 2 5

2, 5, 8, 11, 14, … Terms are separated by commas © T Madas

2, 5, 8, 11, 14, … More terms A sequence goes on for ever

2, +3 10, +4 32, – 3 5, 8, 11, 14, … +3 +3

1, + 2, + 3, +5, + 8, +13, + 21, + 34, We

Number Patterns from Shapes and Dots © T Madas

3 4 +9 +12 12 16 +9 +12 21 28 +9 +12 30 40

SQUARE NUMBERS 1 9 4 +3 +5 16 36 25 +7 +9 +11 +13

SQUARE NUMBERS CLASSWORK Copy each pattern TRIANGLE NUMBERS Write the number of dots under

What comes next and what is the name of these sequences? Do you know

What comes next and what is the name of these sequences? 2, 4, 6,

What comes next and what is the name of these sequences? 1, 4, 7,

What comes next and what is the name of these sequences? Quick Test ©

Find the missing term in the following sequences : 1, 4, 7, 10, 13,

Find the missing term in the following sequences : -13, -11, -9, -7, -5,

Find the missing term in the following sequences : 1, 2, 4, 7, 11,

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Sequences © T Madas

sequence 2, 5, 8, 11, 14, … © T Madas

2, 5, 8, 11, 14, … terms © T Madas

Te rm d 2 n rm rm Te rm 4 th Te 5 th rm 1 st Te 3 rd Te 2, 5, 8, 11, 14, … © T Madas

2, 5, 8, 11, 14, … Terms are separated by commas © T Madas

2, 5, 8, 11, 14, … More terms A sequence goes on for ever © T Madas

2, +3 10, +4 32, – 3 5, 8, 11, 14, … +3 +3 14, +4 29, – 3 +3 18, 22, 26, +4 +4 +4 26, 23, 20, – 3 30, … 17, … – 3 © T Madas

3, 6, 12, 24, 14, … 2 x 2 1, 2, x +1 3, +2 x 2 4, +2 5, +3 9, +4 +6 7, +4 11, +5 15, 23, +8 16, … 33, … +10 © T Madas

1, + 2, + 3, +5, + 8, +13, + 21, + 34, We can use different starting numbers to get other “Fibonacci-type” sequences 1, +3, + 4, + 7, +11, + 18, +29, + 47, + 76, © T Madas

Number Patterns from Shapes and Dots © T Madas

1 1 +3 +4 4 5 +3 +4 7 9 +3 +4 10 13 +3 +4 © T Madas

3 4 +9 +12 12 16 +9 +12 21 28 +9 +12 30 40 +9 +12 © T Madas

SQUARE NUMBERS 1 9 4 +3 +5 16 36 25 +7 +9 +11 +13 TRIANGLE NUMBERS 1 +2 10 6 3 +3 +4 +5 21 15 +6 +7 © T Madas

4 th 3 rd 2 nd 1 st 1 8 27 64 © T Madas

SQUARE NUMBERS CLASSWORK Copy each pattern TRIANGLE NUMBERS Write the number of dots under each pattern Work out the next pattern © T Madas

What comes next and what is the name of these sequences? 2, 4, 6, 8, 10, 12, … Even Numbers 1, 3, 5, 7, 9, 11, … 2, 3, 5, 7, 11, 13, … Odd Numbers 3, 6, 9, 12, 15, 18, … Multiples of 3 1, 2, 4, 8, 16, 32, … Doubling Numbers 1, 4, 9, 16, 25, 36, … Square Numbers 1, 3, 6, 10, 15, 21, … 1, 1, 2, 3, 5, 8, … Triangle Numbers Prime Numbers Fibonacci Numbers © T Madas

What comes next and what is the name of these sequences? 1, 4, 7, 10, 13, 16, … Start from 1 and count up in threes 4, 6, 8, 10, 12, 14, … Start from 4 and count up in twos -3, 0, 3, 6, 9, 12, … Start from -3 and count up in threes 1, -4, -9, -14, -19, -24, … Start from 1 and count down in fives 1, 8, 27, 64, 125, 216, … Cube Numbers © T Madas

Find the missing term in the following sequences : 1, 4, 7, 10, 13, 16, … 3, 7, 11, 15, 19, 23, … 5, 9, 13, 17, 21, 25, … 6, 10, 14, 18, 22, 26, … 2, 5, 8, 11, 14, 17, … 4, 7, 10, 13, 16, 19, … 33, 29, 25, 21, 17, 13, … 21, 18, 15, 12, 9, 6, … 2, 8, 14, 20, 26, 32, … 1, 8, 15, 22, 29, 36, … 41, 38, 35, 32, 29, 26, … 40, 37, 34, 31, 28, 25, … 11, 15, 19, 23, 27, 31, … 10, 14, 18, 22, 26, 30, … 17, 20, 23, 26, 29, 32, … 19, 22, 25, 28, 31, 33, … 3, 10, 17, 24, 31, 38, … 4, 10, 16, 22, 28, 34, … 1, 10, 19, 28, 37, 46, … 3, 12, 21, 30, 39, 48, … © T Madas

Find the missing term in the following sequences : -13, -11, -9, -7, -5, -3, … -7, -4, -1, 2, 5, 8, … -35, -31, -27, -23, -19, … 16, 10, 4, -2, -8, -14, … 1. 1, 1. 3, 1. 5, 1. 7, 1. 9, … -8, -5, -2, 1, 4, 7, … 3. 3, 3, 2. 7, 2. 4, 2. 1, … 0. 4, 0. 7, 1, 1. 3, 1. 6, 1. 9, … 14, 11, 8, 5, 2, -1, … 0. 3, 0. 8, 1. 3, 1. 8, 2. 3, … 4. 5, 6, 7. 5, 9, 10. 5, … 4, 3. 7, 3. 4, 3. 1, 2. 8, 2. 5, … 5, -3. 5, -2, -0. 5, -2. 5, … 1, 1. 4, 1. 8, 2. 2, 2. 6, 3, … 1. 7, 2, 2. 3, 2. 6, 2. 9, … 1. 9, 2. 2, 2. 5, 2. 8, 3. 1, … 0. 2, 0. 6, 1, 1. 4, 1. 8, … 4, 4. 7, 5. 4, 6. 1, 6. 8, … 0. 6, 1. 2, 1. 8, 2. 4, 3, … 0. 3, 1. 2, 2. 1, 3, 3. 9, 4. 8, … © T Madas

Find the missing term in the following sequences : 1, 2, 4, 7, 11, 16 , … 1, 4, 9, 16, 25, 36 , … 3, 6, 11, 18, 27, 38 , … 1, 3, 6, 10, 15, 21 , … 0, 3, 8, 15, 24, 35 , … 1, 3, 4, 7, 11, 18, 29, … 1, 1, 1, 3, 5, 9, 17, 31, 57 , … 3, 6, 12, 24, 48, 96, … 1, 2, 6, 24, 120, 720 , … 1, 8, 27, 64, 125 , 216 , 343, … 1, 3, 9, 27, 81 , 243 , 729 , … 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 , … © T Madas