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
miaty and yesenia have a group of base ten blocks.Misty has six more than yesnia. Yesenia''s blocks repersent 17 together they have 22 blocks,and the total of blocks repersent 85.

4 boys and 4 girls are to seated in arow i)no. of girls sit together ii)not all girls sit together iii)boys and girls are altenate to each other iv)if a particular boy and g

Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work.  In the denominator


Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y

Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan

1. Find the number of zeroes of the polynomial y = f(x) whose graph is given in figure. 2 Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7,-6).

you are driving on a freeway to a tour that is 500 kilometers from your home. after 30 minutes , you pass a freeway exit that you know is 50 kilometer from your home. assuming that

Cycloid The parametric curve that is without the limits is known as a cycloid.  In its general form the cycloid is, X = r (θ - sin θ) Y = r (1- cos θ)  The cycloid pre

One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv