Aisha K.
Mar 12, 2026
Clean layout and the results update instantly. Exactly what I needed for a quick planning check.
Statistics, Probability & Advanced Math
How to Calculate Sequence Progression
Instant math result
Arithmetic sequences add a constant; geometric sequences multiply by a constant. Calculate the nth term and partial sum for either progression type.
Inputs
12
-1000010000
-100100
1200
Smart analysis
Recommendations
Tailored to your live inputs and result—guidance only, not professional advice.
- Check units
Confirm units and mode
Most calculation mistakes come from mixed units or the wrong mode (degrees vs radians, hyp vs leg). Double-check labels before using the number.
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Plain-English guide
Terms & how it works
Confused by a field? Read the short definitions here while you use the tool.
Type (1=Arithmetic, 2=Geometric)
The “Type (1=Arithmetic, 2=Geometric)” value used in this tool’s formula. Adjust it to see results update live.
First Term (a1)
Length of the repayment schedule.
Common Difference/Ratio
The “Common Difference/Ratio” value used in this tool’s formula. Adjust it to see results update live.
Term Number n
Length of the repayment schedule.
- a₁
First term
Starting value.
- d/r
Step
Common difference or ratio.
When to use this Sequence Progression
Common use cases
- Check homework results with transparent formulas
- Estimate probability for common distributions
- Convert between related statistical measures quickly
Localized examples
- Classroom and exam-prep workflows
- Business analytics back-of-envelope checks
What you get
- Formula-backed outputs with clear labels
- Step-friendly defaults for learning
- Free online calculator — no sign up
How to Calculate Sequence Progression Step-by-Step
- 1Choose arithmetic (1) or geometric (2).
- 2Enter first term and common difference/ratio.
- 3Set n and review term and sum.
Governing formula
Arithmetic: a_n = a₁+(n−1)d · Geometric: a_n = a₁·r^(n−1)
nth term of an arithmetic or geometric sequence from first term and common difference/ratio.
Example: set Type (1=Arithmetic, 2=Geometric) = 1, First Term (a1) = 3, Common Difference/Ratio = 2, then read the result.
Variable definitions
- a₁
First term
Starting value.
- d/r
Step
Common difference or ratio.
- Choose the mode that matches your sequence type.
Frequently Asked Questions
The constant added each step in an arithmetic sequence.
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4.8
out of 5.0
4 reviews
Daniel R.
Feb 28, 2026
Very usable on mobile. Would love a save/export option later, but the math feels solid.
Priya S.
Feb 3, 2026
The FAQ section answered my questions before I even had to search. Smooth dark mode too.
Marcus L.
Jan 19, 2026
Simple inputs, clear outputs. This replaced three bookmarks I used to juggle.
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