Arithmetic progressions, Mathematics

ARITHMETIC PROGRESSIONS: One  of the  endlessly alluring  aspects  of mathematics  is  that its thorniest  paradoxes have  a  way  of blooming  into  beautiful  theories

Examples:

The fourth term of an AP is 0. Prove that its 25th term is triple its 11th term.

Ans:   a4= 0

⇒ a + 3d = 0

T.P       a25= 3 (a11)

⇒ a + 24d = 3 (a + 10d)

⇒ a + 24d = 3a + 30d

RHS sub a = - 3d

- 3d + 24d = 21d

LHS    3a + 30d

- 9d + 30d = 21d

LHS = RHS Hence proved

 

Posted Date: 4/8/2013 5:14:49 AM | Location : United States







Related Discussions:- Arithmetic progressions, Assignment Help, Ask Question on Arithmetic progressions, Get Answer, Expert's Help, Arithmetic progressions Discussions

Write discussion on Arithmetic progressions
Your posts are moderated
Related Questions
explain how business mathematics in an inbu;it component of a payroll package

Explain Multiples ? When a whole number is multiplied by another whole number, the results you get are multiples of the whole numbers. For example,  To find the first four mult

What is Substitution Technique of Linear Equations?


round to the nearest ten to estimate , 422+296

Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and

By such interactions children learn to articulate reasons and construct arguments. When a child is exposed to several interactions of this kind, she gradually develops the ability

The value of y that minimizes the sum of the two distances from (3,5) to (1,y) and from (1,y) to (4,9) can be written as a/b where a and b are coprime positive integers. Find a+b.

two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent

How do you calculate for the distance between two co-ordinates?