Steps to Calculate Common Difference
- Take any term of the given sequence
- Subtract the term from its succeeding(next) term
- Difference of the terms is the common difference
For example: Let us calculate the common difference of the a arithmetic sequence 1, 3, 5, 7, 9.
Given that the sequence is 1, 3, 5, 7, 9.
Common difference can be calculated as
d = 3 – 1 = 5 – 3 = 7 – 5 = 9 – 7
d = 2
Hence, the common difference of the given sequence is 2.
What is the common difference of the AP 1/b, (3-b)/3b, (3-2b)/3b…?
Common difference of the given AP (1/b , (3-b) / 3b , (3-2b) / 3b … ) is -1/3 and can be calculated using the general formulas for finding the common difference of an AP . In this article, we are going to learn about the concept of common differences, explore methods to determine them , and apply our knowledge to solve similar problems efficiently.
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