QUIZ OF THE DAY

Mr. Fernandez purchased an article for Rs. 702 including Sales Tax. 
If the rate of Sales Tax is 8%, find the sales price of the article.

QUIZ OF THE DAY

John purchased a pair of shoes costing Rs. 850 

including Sales Tax. 

If the rate of Sales Tax is 8%, 

find the sale price of the shoes. 

QUIZ OF THE DAY

Find the next two terms of the sequence :

2, 4, 8, 16, …..                      

Arithmetic Progression

Arithmetic Progression

Topic -1 Sequence & Its Types

Quick Review –

Ø  Sequence : A Sequence is a collection of numbers arranged in a definite order according to some definite rule.

Example :

(i)  1, 4, 9, 16, ……(Collection of Perfect squares of Natural numbers)

(ii) 1, 3, 5, 7, …….(Collection of Positive odd Integers)

(iii) −2, − 4, − 6, …..(Collection of Negative even Integers)

Ø  Types of Sequence :

(a) Finite Sequence :

If the number of terms in a sequence is finite (Countable), i.e.,

 if there is an end of terms in the

     sequence, then it is called a finite sequence.

e.g., : 1, 2, 3, ….. 20.

(b)  Infinite Sequence : 

If the number of terms in a sequence is infinite, then it is called an infinite sequence.

      

 e.g., : 1, 3, 5, 7, ………..

Pythagoras Theorem

Pythagoras Theorem

  

A ladder reaches a window which is 

15 metres above 

the ground on one side of the street. 

Keeping its foot at 

the same point, the ladder is turned to the other side 

of 

the street to reach a window 8 metre high. 

Find the width of the street, if the length of the 

ladder is 17 metre.

QUIZ OF THE DAY

QUIZ OF THE DAY

Find the next two terms in the sequence :

1, 3, 7, 15, 31, …..       (March 2013)

Equations in One Variable

study the lesson:

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 comments and answers below:

Each one of the following is an equation is one variable. There are terms with variables on both sides of the equation. The equations have been solved using the rules of equality. Study them.

              Method                                                     Explanation

Ex. 1.  8y + 5 = 3y + 20              Simplified form using the             

∴ 8y – 3y + 5 = 3y – 3y + 20      subtraction property of an

∴ 5y + 5 = 20                                 equation.

∴ 5y + 5 – 5 = 20 – 5

∴ 5y = 15                                       Simplified form using the division

∴  =    ∴ y = 3                property of an equation.

                        Solution of the equation : 3

Solve the equations.

(1)  y – 2 = 9

(2)  p + 3 = 12

(3)  3x = 18

(4)  m/4 = 8