NCERT Solutions for Class 10 Maths Chapter 5: In simple words, Arithmetic Progression (A.P.) can be described as a sequence of numbers where it exists in an order in which the difference between any of the two consecutive numbers would be constant. It is also called an Arithmetic Sequence. For instance, if 10, 20, 30, 40, 50 is a series of numbers, it can be said that it is an arithmetic progression in which the difference between every two successive terms is 10.
Firstly, the difference between two consecutive numbers needs to be identified using simple subtraction. The NCERT solutions for class 10 Maths Chapter 5 arithmetic progression include problems on finding whether the given series of numbers are AP or not AP. The general form of AP is given below,
a, a + d, a + 2d, a + 3d,…
This is the general form of an arithmetic sequence and is usually used to identify if the series of numbers follow the common pattern. The given condition is AP if the numbers follow a common difference, and the given condition is not AP if the numbers do not follow a common difference.
Similarly, to calculate the nth term of AP, we need to use the formula which is given below,
an = a +(n-1) x d
It is not possible to evaluate each and every term of the arithmetic sequence to resolve these specific terms. Instead of doing this, we must establish an effective relationship that ensures we find the nth value for any given value of n. So, that is the sole reason why this formula is developed in the first place.
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