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760
The document provides an overview of different types of sequences, focusing on quadratic sequences and their nth term formulas. It covers arithmetic, geometric, Fibonacci, square, and triangular numbers, explaining their characteristics and providing examples. The text also details methods for finding the nth term of linear and quadratic sequences, including step-by-step explanations and examples.
25/06/2022
760
This page provides a comprehensive overview of various sequence types, with a focus on quadratic sequences and methods for finding their nth terms. It covers essential concepts in sequence analysis, making it valuable for students studying mathematics.
The document begins by introducing different types of sequences:
Arithmetic (Linear) Sequences: These have a constant difference between consecutive terms.
Quadratic Sequences: The second difference between consecutive terms is constant.
Geometric Sequences: Each term after the first is found by multiplying the previous one by a fixed, non-zero number called a common ratio.
Fibonacci Sequence: Each number is the sum of the two preceding ones.
Square Numbers: The product of an integer with itself.
Triangular Numbers: A series obtained by continued summation of natural numbers.
Definition: A quadratic sequence is a sequence where the second difference between consecutive terms is constant.
The page then delves into the methods for finding the nth term of sequences:
For linear sequences:
Example: For the sequence 6, 12, 18, 24, the nth term is 6n.
For quadratic sequences:
Highlight: The second difference in a quadratic sequence is always twice the 'a' value in the nth term formula.
The document concludes with an alternative method for finding the nth term of quadratic sequences by comparison, using square numbers as an example.
Example: For the sequence 9, 16, 25..., the nth term is T(n) = n².
This comprehensive guide serves as an excellent resource for students learning about finding the nth term of a quadratic sequence and other sequence types, providing clear explanations and practical examples.
10
671
8/9
Nth term
Arithmetic, Geometric and Quadratic Sequences
1
193
11/10
Simultaneous equations eot test
And example of a Year 10 simultaneous equations end of topic test with answers
3
28
S5
Recurrence Relations - word problems notes
notes for higher maths on recurrence relations word problems
12
617
10/11
Error intervals
Explanation on what error intervals are and how to find error intervals with examples
Average app rating
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The document provides an overview of different types of sequences, focusing on quadratic sequences and their nth term formulas. It covers arithmetic, geometric, Fibonacci, square, and triangular numbers, explaining their characteristics and providing examples. The text also details methods for finding the nth term of linear and quadratic sequences, including step-by-step explanations and examples.
This page provides a comprehensive overview of various sequence types, with a focus on quadratic sequences and methods for finding their nth terms. It covers essential concepts in sequence analysis, making it valuable for students studying mathematics.
The document begins by introducing different types of sequences:
Arithmetic (Linear) Sequences: These have a constant difference between consecutive terms.
Quadratic Sequences: The second difference between consecutive terms is constant.
Geometric Sequences: Each term after the first is found by multiplying the previous one by a fixed, non-zero number called a common ratio.
Fibonacci Sequence: Each number is the sum of the two preceding ones.
Square Numbers: The product of an integer with itself.
Triangular Numbers: A series obtained by continued summation of natural numbers.
Definition: A quadratic sequence is a sequence where the second difference between consecutive terms is constant.
The page then delves into the methods for finding the nth term of sequences:
For linear sequences:
Example: For the sequence 6, 12, 18, 24, the nth term is 6n.
For quadratic sequences:
Highlight: The second difference in a quadratic sequence is always twice the 'a' value in the nth term formula.
The document concludes with an alternative method for finding the nth term of quadratic sequences by comparison, using square numbers as an example.
Example: For the sequence 9, 16, 25..., the nth term is T(n) = n².
This comprehensive guide serves as an excellent resource for students learning about finding the nth term of a quadratic sequence and other sequence types, providing clear explanations and practical examples.
Maths - Nth term
Arithmetic, Geometric and Quadratic Sequences
10
671
2
Maths - Simultaneous equations eot test
And example of a Year 10 simultaneous equations end of topic test with answers
1
193
0
Maths - Recurrence Relations - word problems notes
notes for higher maths on recurrence relations word problems
3
28
0
Maths - Error intervals
Explanation on what error intervals are and how to find error intervals with examples
12
617
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
