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Sequences: Quiz 11 – Answers
Sequences: Quiz 11 – Answers
Part 1
1) The triangle numbers are obtained by drawing out a triangle with dots and adding an extra row each time. The first 5 triangle numbers are:
1, 3, 6, 10, 15 …
2) We obtain the next term in the Fibonacci sequence by adding the previous two terms together. The Fibonacci sequence starts off with two 1’s. The first 10 terms in the Fibonacci sequence are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55 …
3) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 …
4) 1, 8, 27, 64, 125 …
Part 2
1) 1 , 4 , 5 , 9 , 14 , 23 , 37
2) 3 , 7 , 10 , 17 , 27 , 44
3) 3 , 11 , 14 , 25 , 39 , 64 , 103
4) 3 , 4 , 7 , 11 , 18
5) 6 , 9 , 15 , 24 , 39
6) 4 , 9 , 13 , 22 , 35
7) 5 , 6 , 11 , 17 , 28 , 45
8) 21 , 34 , 55 , 89 , 144 , 233
1) The triangle numbers are obtained by drawing out a triangle with dots and adding an extra row each time. The first 5 triangle numbers are:
1, 3, 6, 10, 15 …
2) We obtain the next term in the Fibonacci sequence by adding the previous two terms together. The Fibonacci sequence starts off with two 1’s. The first 10 terms in the Fibonacci sequence are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55 …
3) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 …
4) 1, 8, 27, 64, 125 …
Part 2
1) 1 , 4 , 5 , 9 , 14 , 23 , 37
2) 3 , 7 , 10 , 17 , 27 , 44
3) 3 , 11 , 14 , 25 , 39 , 64 , 103
4) 3 , 4 , 7 , 11 , 18
5) 6 , 9 , 15 , 24 , 39
6) 4 , 9 , 13 , 22 , 35
7) 5 , 6 , 11 , 17 , 28 , 45
8) 21 , 34 , 55 , 89 , 144 , 233
Working
Part 1
There is no working for this quiz.
Part 2
Part 1
There is no working for this quiz.
Part 2
Questions
You may use a calculator for the following questions.
Part 1
1) What is the triangle number sequences? Write down the first 5 terms in it.
2) What is the Fibonacci sequence? Write down the first 10 terms of the sequence.
3) Write down the first 12 terms of the square number sequence.
4) Write down the first 5 terms of the cubic sequence.
You may use a calculator for the following questions.
Part 1
1) What is the triangle number sequences? Write down the first 5 terms in it.
2) What is the Fibonacci sequence? Write down the first 10 terms of the sequence.
3) Write down the first 12 terms of the square number sequence.
4) Write down the first 5 terms of the cubic sequence.
Part 2
1) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
1 , 4 , 5 , 9 …
2) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
3 , 7 , 10 …
3) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
3 , 11 , 14 , 25 …
4) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 11 , 18
5) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 24 , 39
6) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 22 , 35
7) The sequence below is a Fibonacci like sequence. Find the missing terms.
… , … , 11 , 17 , … , …
8) The sequence below is a Fibonacci like sequence. Find the missing terms.
… , … , 55 , 89 , … , …
1) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
1 , 4 , 5 , 9 …
2) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
3 , 7 , 10 …
3) The sequence below is a Fibonacci like sequence. Find the next 3 terms.
3 , 11 , 14 , 25 …
4) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 11 , 18
5) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 24 , 39
6) The sequence below is a Fibonacci like sequence. Find the first 3 terms.
… , … , … , 22 , 35
7) The sequence below is a Fibonacci like sequence. Find the missing terms.
… , … , 11 , 17 , … , …
8) The sequence below is a Fibonacci like sequence. Find the missing terms.
… , … , 55 , 89 , … , …