grade 11 mathematics topics, which may also be used by other people, especially the grade 12 students, GCE candidates, the college students and teachers who need references.
Don't forget to consult the pastpapers for more and advanced exercises
LEARNING OBJECTIVES
At the end of this chapter you should be able to:
Identify an arithmetic progression (AP)
Find the nth term of the AP
Find the sum of an AP
Find the arithmetic mean
Identify a geometric progression (GP)
Find the nth term of a GP
Find the geometric mean
Find the sum of a geometric progression
Find the sum to infinity of a Geometric progression
KNOWLEDGE:
Arithmetic and Geometrical Progressions.
The nth terms of AP and GP
Sums of APs and GPs
Arithmetic and geometric means
Sum to infinity of a Geometric progression
SKILLS
Identification of arithmetic and geometrical Progressions.
Ordering of Arithmetic and Geometrical Progressions.
Computation of Arithmetic and Geometrical Progressions.
VALUES
Accuracy in computing progressions.
Appreciation of the nth term of the progression.
Prediction of the nth term.
CROSSCUTTING ISSUES
Life skills: Sequences and series are applied in computing
Gender balance.
Sequences and series meaning
A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
The sequence 2, 4, 6, 8 ... is the sequence of even numbers and to continue the sequence the rule (or pattern) is add two.
A sequence is a list of numbers arranged in a definite order. The numbers in a sequence are called “terms”. For example 10, 20, 30, 40, 50 is a sequence arranged in such way that each term is equal to the preceding term plus 10.
A sequence can be finite (5, 10, 15, 20) or infinite (1, 3, 5, 7,……….); it can also be given as a formula an where an denotes nth term.
" />grade 11 mathematics topics, which may also be used by other people, especially the grade 12 students, GCE candidates, the college students and teachers who need references.
Don't forget to consult the pastpapers for more and advanced exercises
LEARNING OBJECTIVES
At the end of this chapter you should be able to:
Identify an arithmetic progression (AP)
Find the nth term of the AP
Find the sum of an AP
Find the arithmetic mean
Identify a geometric progression (GP)
Find the nth term of a GP
Find the geometric mean
Find the sum of a geometric progression
Find the sum to infinity of a Geometric progression
KNOWLEDGE:
Arithmetic and Geometrical Progressions.
The nth terms of AP and GP
Sums of APs and GPs
Arithmetic and geometric means
Sum to infinity of a Geometric progression
SKILLS
Identification of arithmetic and geometrical Progressions.
Ordering of Arithmetic and Geometrical Progressions.
Computation of Arithmetic and Geometrical Progressions.
VALUES
Accuracy in computing progressions.
Appreciation of the nth term of the progression.
Prediction of the nth term.
CROSSCUTTING ISSUES
Life skills: Sequences and series are applied in computing
Gender balance.
Sequences and series meaning
A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
The sequence 2, 4, 6, 8 ... is the sequence of even numbers and to continue the sequence the rule (or pattern) is add two.
A sequence is a list of numbers arranged in a definite order. The numbers in a sequence are called “terms”. For example 10, 20, 30, 40, 50 is a sequence arranged in such way that each term is equal to the preceding term plus 10.
A sequence can be finite (5, 10, 15, 20) or infinite (1, 3, 5, 7,……….); it can also be given as a formula an where an denotes nth term.
">grade 11 mathematics topics, which may also be used by other people, especially the grade 12 students, GCE candidates, the college students and teachers who need references.
Don't forget to consult the pastpapers for more and advanced exercises
LEARNING OBJECTIVES
At the end of this chapter you should be able to:
Identify an arithmetic progression (AP)
Find the nth term of the AP
Find the sum of an AP
Find the arithmetic mean
Identify a geometric progression (GP)
Find the nth term of a GP
Find the geometric mean
Find the sum of a geometric progression
Find the sum to infinity of a Geometric progression
KNOWLEDGE:
Arithmetic and Geometrical Progressions.
The nth terms of AP and GP
Sums of APs and GPs
Arithmetic and geometric means
Sum to infinity of a Geometric progression
SKILLS
Identification of arithmetic and geometrical Progressions.
Ordering of Arithmetic and Geometrical Progressions.
Computation of Arithmetic and Geometrical Progressions.
VALUES
Accuracy in computing progressions.
Appreciation of the nth term of the progression.
Prediction of the nth term.
CROSSCUTTING ISSUES
Life skills: Sequences and series are applied in computing
Gender balance.
Sequences and series meaning
A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
The sequence 2, 4, 6, 8 ... is the sequence of even numbers and to continue the sequence the rule (or pattern) is add two.
A sequence is a list of numbers arranged in a definite order. The numbers in a sequence are called “terms”. For example 10, 20, 30, 40, 50 is a sequence arranged in such way that each term is equal to the preceding term plus 10.
A sequence can be finite (5, 10, 15, 20) or infinite (1, 3, 5, 7,……….); it can also be given as a formula an where an denotes nth term.
Sequences and series is the second grade 11 mathematics topics, which may also be used by other people, especially the grade 12 students, GCE candidates, the college students and teachers who need references.
Don’t forget to consult the pastpapers for more and advanced exercises
LEARNING OBJECTIVES
At the end of this chapter you should be able to:
Identify an arithmetic progression (AP)
Find the nth term of the AP
Find the sum of an AP
Find the arithmetic mean
Identify a geometric progression (GP)
Find the nth term of a GP
Find the geometric mean
Find the sum of a geometric progression
Find the sum to infinity of a Geometric progression
KNOWLEDGE:
Arithmetic and Geometrical Progressions.
The nth terms of AP and GP
Sums of APs and GPs
Arithmetic and geometric means
Sum to infinity of a Geometric progression
SKILLS
Identification of arithmetic and geometrical Progressions.
Ordering of Arithmetic and Geometrical Progressions.
Computation of Arithmetic and Geometrical Progressions.
VALUES
AccuracyAccuracy is The number of significant figures given in a num... Morein computing progressions.
Appreciation of the nth term of the progression.
Prediction of the nth term.
CROSSCUTTING ISSUES
Life skills: Sequences and series are applied in computing
Gender balance.
Sequences and series meaning
A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
The sequence 2, 4, 6, 8 … is the sequence of even numbers and to continue the sequence the rule (or pattern) is add two.
A sequence is a list of numbers arranged in a definite order. The numbers in a sequence are called “terms”. For example 10, 20, 30, 40, 50 is a sequence arranged in such way that each term is equal to the preceding term plus 10.
A sequence can be finite (5, 10, 15, 20) or infinite (1, 3, 5, 7,……….); it can also be given as a formula an where an denotes nth term.
Identification of arithmetic and geometrical Progressions.
Ordering of Arithmetic and Geometrical Progressions.
Computation of Arithmetic and Geometrical Progressions
Course Content
Concept of Sequences and Series
A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
The sequence 2, 4, 6, 8 ... is the sequence of even numbers and to continue the sequence the rule (or pattern) is add two.
A sequence is a list of numbers arranged in a definite order. The numbers in a sequence are called “terms”. For example 10, 20, 30, 40, 50 is a sequence arranged in such way that each term is equal to the preceding term plus 10.
A sequence can be finite (5, 10, 15, 20) or infinite (1, 3, 5, 7,……….); it can also be given as a formula an where an denotes nth term.
