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arthematic progressions
Asked by dasharathnayak24 | 22 Jan, 2022, 09:38: PM

An arithmetic progression or arithmetic sequence is a sequence in which the difference between any two consecutive terms is constant. The difference between the consecutive terms is known as the common difference and is denoted by d. Let us understand this with one example.

Let’s check whether the given sequence is A.P:  1, 3, 5, 7, 9, 11. To check if the given sequence is in A.P or not, we must first prove that the difference between the consecutive terms is constant. So, d = a2– ashould be equal to a3– aand so on… Here,

d = 3 – 1 = 2 equal to 5 – 3 = 2

Here we can see that the difference is common to both the terms. So, we can say that the given sequences are in arithmetic progression.

Answered by Sheetal Kolte | 24 Jan, 2022, 01:47: PM

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