The common difference of the AP : 2 ,2 ,2 ,2 ,2 ,….is
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Answer:
The common difference of the AP : 2 ,2 ,2 ,2 ,2 is 0.
Step-by-step explanation:
Step : 1 The typical difference formula is d = (an + 1 - an) or d = (an – an-1).
AP rises if the common difference is positive. For instance, 4, 8, 12, 16, etc.
AP declines if the common difference is negative.
The common difference will always be 0 if AP is constant.
Step : 2 Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next word in the series is obtained by adding 4 to the preceding term. Since a(n) is the final term in the series and a(n-1) is the term before it, you can state that the formula to determine the common difference of an arithmetic sequence is d = a(n) - a(n - 1).
Step : 3 The difference between any two successive terms in an arithmetic series is constant. The common difference is the name given to this enduring divergence. The equation for an arithmetic series can be generalised as follows: A n 1 and and denote two subsequent terms, and represents the common difference, such that a n a n 1 = d.
Step : 4 The common difference is denoted by the letter "d," whereas the first term in the arithmetic progression is denoted by the letter "a." The difference between two consecutive words is a frequent distinction in A.P.
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The common difference between the AP 2, 2, 2, 2, 2,... is 0.
The main distinction in an arithmetic progression (AP) is the constant value that is added to each term to produce the subsequent term.
d = a(n) - a(n - 1) is the formula to calculate the common difference of an arithmetic sequence.
Each term in the given sequence of 2, 2, 2, 2, 2,... is 2, and the terms' values remain constant. As a result, this AP's common difference is 0.
The sequence is not really an arithmetic progression in the conventional sense when the common difference is zero because all of the terms in the sequence are the same. The sequence in this instance is just a constant sequence, where each term equals the preceding term.
In conclusion, the sequence is more accurately described as a constant sequence than as an arithmetic progression.
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