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Knowledges in Mathematics

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Annuity

Given below are the notes for mathematics students, studying the subject Arithmetic. The document includes topics such as Total Amount of Annuity, Present Worth of an Annuity, Perpetuity, etc. #BITS Pilani

Arithmetic

Shivam Khetan

maths formulae

maths formulae of partial differential equation of higher order

Differential Equations

Shekhar Verma

Elementary Linear Algebra- Howard Anton

Pdf of the Elementary Linear Algebra(10th Edition) by Howard Anton and Chris Rorres.

Algebra

Aman Jain

Geometry concepts

Concepts

Geometry

Anu Varghese

Mathematical concepts- quadratic equations

About quadratic equations and its short way of calculations

Algebra

Pooja Kashyap

Why are the four consecutive terms in an AP taken

We can take the both a-3d,a-d,a+d,a+3d and a,a+d,a+2d,a+3d as the four consecutive numbers in an AP it actually depends on the type of question and they are namely 1 - If in the question we are only provided with the sum of the four consecutive numbers and we are neither provided with value of a nor with the value of d. In this case we take the four consecutive numbers as a-3d,a-d,a+d,a+3d this is because when we take the sum of four numbers it comes out to be a-d+a-3d+a+d+a+3d = 4a . And this 4a can be equated to the sum and hence we can we find the value of a and can proceed further. 2 - If in the question we are provided with the sum of the four consecutive numbers and we are also provided either with the value of a or with the value of d then we can take the four consecutive numbers as a,a+d,a+2d,a+3d this is because when we sum them up a+a+d+a+2d+a+3d = 4a+6d . And 4a+6d can be equated to the sum and we can find the unknown value it is either of a or d . Thanks for reading

Arithmetic

Hrithik Choudhary