We can solve linear equations consisting of 2 variables by taking value of one variable from one of the equation and putting into the other.
The general form of linear equation consisting of one variable can be written as where is the only variable and are real numbers.
Linear equation is the equation in which all the variables have exponent equal to 1. Lets take an example of linear equation . In this equation, we have just one variable and we can clearly notice that exponent of is 1. Similarly we can write few more examples of linear equations:
How can you know that a particular large number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 or 11.
This article will help you to learn about divisibility tests for numbers 2 to 11.
In the previous post, we learnt What are arithmetic progressions? In this post, we will learn about nth term of arithmetic progressions. For example, we are given an arithmetic sequence 2, 4, 6, 8, 10 .... Can you find me the value of 54th term? It is very easy to do so with the help of formula which we will be deriving in this post.
In arithmetic sequences, we have first term equal to .
Second term where d is the common difference.
Similarly, nth term
For sequence 2, 4, 6, 8, 10 ....
d = 4 - 2 = 2
Can you find 27th term of arithmetic sequence 4, 2, 0, -2, -4, -6....
In this sequence, we have first term , d = 2-4=-2
Applying formula , we get
Watch video to have better understanding
- Find the value of 68th term in arithmetic sequence -3, -6, -9, -12 ....
- Find the value of 102nd term in arithmetic sequence .....
Answer 1: -204