Math calculator
Arithmetic Sequence Calculator
Find the nth term and sum of an arithmetic sequence.
Formula
Arithmetic sequence
a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2
First term 3, difference 4, term 10 gives 39.
FAQs
What is the common difference?+
It is the amount added from one term to the next.
Can the difference be negative?+
Yes. A negative difference makes the sequence decrease.
How does the Arithmetic Sequence Calculator calculate the result?+
It uses the Arithmetic sequence: a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2. First term 3, difference 4, term 10 gives 39.
What information do I need to use the Arithmetic Sequence Calculator?+
Find the nth term and sum of an arithmetic sequence.
How accurate is the Arithmetic Sequence Calculator?+
Arithmetic Sequence Calculator applies the formula and assumptions shown on this page. Results may be rounded for readability, so verify changing rates, thresholds, medical guidance, or legal rules with the cited source or a qualified professional.
What should I check before using the Arithmetic Sequence Calculator result?+
Check that the units, dates, rates, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
Math guide
How to use the Arithmetic Sequence Calculator
Find the nth term and sum of an arithmetic sequence. The page also explains the arithmetic sequence and shows a practical example: First term 3, difference 4, term 10 gives 39.
- 1
Enter your details
Enter the values for the arithmetic sequence calculator scenario you want to check.
- 2
Check the calculation
Review the result alongside the arithmetic sequence: a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2.
- 3
Compare scenarios
Change one or more inputs to see how they affect the arithmetic Sequence Calculator result before you use the estimate.
Was this calculator useful?
0/1200