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Find the Common Difference in the Arithmetic Sequence Calculator: Do you want to find the common difference in the arithmetic sequence easily? Then, look into the page to make use of this calculator. we have provided the step-by-step procedure that calculates the common difference in an arithmetic sequence. And also given solved examples for clear information.
An arithmetic sequence is a set of numbers or objects. The sequence is a set of numbers that are separated with commas. An arithmetic sequence is also called arithmetic progression. An arithmetic sequence is in form of,
a, a +d, a + 2d, a + 3d, a + 4d......
Now, we will see the formula for the arithmetic sequence,
an = a₁ + (n-1)d.
where
an = nth term of the sequence.
a₁ = 1st term of the sequence.
d = common difference.
To find the common difference,
d = an+1 - an
Steps to calculate the common difference of arithmetic sequence
Look into the guidelines that are given below for calculating the common difference of arithmetic sequence.
Example:
Question: Find the common difference between the a2 and a3, if a1 = 23, n = 3, d = 5?
Solution:
Given a2 and a5, a1 = 23, n = 3, d = 5, a4 = 20
Apply the formula,
an = a₁ + (n-1)d.
a2 = 23 + (3 -1) * 5
= 23 + 10 = 33.
a5 = a4 + (n-1)d.
= 20 + (3-1) * 5
= 20 + 10 = 30.
d = an+1 - an = a2 - a5 = 33 - 30 = 3.
Therefore the common difference of arithmetic sequence is 3.
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1. What is an arithmetic sequence?
An arithmetic sequence is a set of numbers or objects. The sequence is a set of numbers that are separated with commas.
2. What is the formula of an arithmetic sequence?
Formula of an arithmetic sequence is an = a₁ + (n-1)d.
3. What is the best tool that calculates the common difference arithmetic sequence?
Find the common difference of arithmetic sequence calculator is the best tool that calculates the common difference arithmetic sequence.