Arithmetic progressions, Mathematics

Assignment Help:

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

 


Related Discussions:- Arithmetic progressions

Trigonometry identity, if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx...

if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2

The parallelogram, love is a parallelogram where prove that is a rectangle...

love is a parallelogram where prove that is a rectangle

Find the probability, Q. Suppose Jessica has 10 pairs of shorts and 5 pair...

Q. Suppose Jessica has 10 pairs of shorts and 5 pairs of jeans in her drawer. How many ways could she pick out something to wear for the day? What is the probability that she pick

Operation research, difference between scope and application of operation r...

difference between scope and application of operation research

Division, 1000000 divided by 19

1000000 divided by 19

Simple harmonic motion, prove that the composition of two simple harmonic o...

prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.

Find the area irrigated by this system, An irrigation system uses a straigh...

An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point.

Root test- sequences and series, Root Test- Sequences and Series This ...

Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at.  Like with the Ratio Test this test will as well tell wh

find out the dimensions which will minimize, We desire to construct a box ...

We desire to construct a box whose base length is three times the base width. The material utilized to build the top & bottom cost $10/ft 2 and the material utilized to build the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd