Sequences

Learning tasks

A) Numerical Sequence
1) Finding Terms from a Table	Answer To keep the scale balanced, any operation we perform must be done on both sides equally. To isolate \(x\), we need to remove the weight of 10 from the left pan. To maintain balance, we must also remove a weight of 10 from the right pan.This process shows that \(x+10=13\) is equivalent to \(x=3\). A solution to an equation is a value for the variable that maintains the balance. Here, the solution is \(x=3\). Ex 1 Ex 2 Ex 3 Ex 4
2) Finding Missing Terms	Ex 5 Ex 6 Ex 7 Ex 8
B) Arithmetic and Geometric Sequences
3) Finding Next Term in Arithmetic Sequence	Ex 9 Ex 10 Ex 11 Ex 12 Ex 13 Ex 14
4) Finding the First Term in an Arithmetic Sequence	Ex 15 Ex 16 Ex 17 Ex 18
5) Finding the Common Difference	Ex 19 Ex 20 Ex 21 Ex 22
6) Finding Next Term in Arithmetic Sequence	Ex 23 Ex 24 Ex 25 Ex 26
7) Finding a Term in Arithmetic Sequence	Ex 27 Ex 28 Ex 29 Ex 30
8) Finding Next Term in Geometric Sequence	Ex 31 Ex 32 Ex 33 Ex 34 Ex 35
9) Finding the First Term in a Geometric Sequence	Ex 36 Ex 37 Ex 38 Ex 39
10) Finding Next Term in Geometric Sequence	Ex 40 Ex 41 Ex 42 Ex 43 Ex 44
11) Finding Rules in Geometric Patterns	Ex 45 Ex 46 Ex 47 Ex 48
12) Finding Rules in Dot Patterns	Ex 49 Ex 50 Ex 51

Lesson Summary
Text book

Exercises Correction
A) Numerical Sequence
    1) Finding Terms from a Table
Answer

To keep the scale balanced, any operation we perform must be done on both sides equally. To isolate \(x\), we need to remove the weight of 10 from the left pan. To maintain balance, we must also remove a weight of 10 from the right pan.This process shows that \(x+10=13\) is equivalent to \(x=3\). A solution to an equation is a value for the variable that maintains the balance. Here, the solution is \(x=3\).

Ex 1 Ex 2 Ex 3 Ex 4
    2) Finding Missing Terms Ex 5 Ex 6 Ex 7 Ex 8
B) Arithmetic and Geometric Sequences
    3) Finding Next Term in Arithmetic Sequence Ex 9 Ex 10 Ex 11 Ex 12 Ex 13 Ex 14
    4) Finding the First Term in an Arithmetic Sequence Ex 15 Ex 16 Ex 17 Ex 18
    5) Finding the Common Difference Ex 19 Ex 20 Ex 21 Ex 22
    6) Finding Next Term in Arithmetic Sequence Ex 23 Ex 24 Ex 25 Ex 26
    7) Finding a Term in Arithmetic Sequence Ex 27 Ex 28 Ex 29 Ex 30
    8) Finding Next Term in Geometric Sequence Ex 31 Ex 32 Ex 33 Ex 34 Ex 35
    9) Finding the First Term in a Geometric Sequence Ex 36 Ex 37 Ex 38 Ex 39
    10) Finding Next Term in Geometric Sequence Ex 40 Ex 41 Ex 42 Ex 43 Ex 44
    11) Finding Rules in Geometric Patterns Ex 45 Ex 46 Ex 47 Ex 48
    12) Finding Rules in Dot Patterns Ex 49 Ex 50 Ex 51