Evaluate finite sums and products with flexible inputs. Review terms, totals, and patterns clearly each time. Save outputs for lessons, homework, audits, and revision needs.
| Mode | Expression | Start | End | Step | Result |
|---|---|---|---|---|---|
| Summation | n^2 | 1 | 4 | 1 | 30 |
| Product | n+1 | 1 | 3 | 1 | 24 |
| Summation | 2*n+3 | 2 | 6 | 2 | 27 |
Summation formula: S = Σ f(i), where i moves from the start value to the end value by the chosen step.
Product formula: P = Π f(i), where each evaluated term is multiplied in sequence across the selected range.
Running total for summation: New Total = Previous Total + Current Term.
Running total for product: New Total = Previous Total × Current Term.
This calculator evaluates the expression term by term. It then updates the total after every step.
Choose either summation or product mode.
Enter a valid expression such as n^2, 2*n+1, sqrt(n), or log(n).
Set the variable letter used inside the expression.
Enter the start value, end value, and step size.
Choose how many decimal places you want in the result table.
Press Calculate to show the final answer above the form.
Review each generated term and the running total.
Use the export buttons to save the output as CSV or PDF.
Summation and product notation appear in algebra, calculus, statistics, and discrete mathematics. Students use sigma notation to compress long additions into one compact statement. Product notation does the same for repeated multiplication. This calculator helps you test expressions quickly. It also helps you inspect each generated term before trusting the final answer.
The calculator evaluates a function across a finite range. You choose summation mode for total addition. You choose product mode for total multiplication. Then you set the starting index, ending index, variable symbol, and step value. The tool computes each term in order. It also builds a running total, which makes verification easier.
This page is useful for homework, quizzes, and self-study. It can check finite series, sequence values, and repeated factors. It is also helpful when you want to compare manual work with a calculated output. The term table shows where an error begins. That saves time when you are reviewing class notes or correcting an assignment.
You can enter expressions like n^2, 2*n+3, sqrt(n), sin(n), or log(n). This makes the tool useful for many topics. It can support polynomial patterns, radicals, trigonometric terms, and logarithmic growth. Because the range is user controlled, you can test short examples or longer finite patterns with the same interface.
The CSV and PDF options help you save results for reports, revision sheets, or class records. Exported rows include each index, term value, and running total. That structure is useful when you need a clean audit trail. It is also helpful for tutors, teachers, and analysts who want a shareable summary of the computation.
A strong summation and product notation calculator should do more than return one number. It should show process, support flexible bounds, and make checking easier. This page does that in a simple layout. It is designed for quick study, clean review, and reliable finite notation practice.
Summation notation uses the sigma symbol to represent repeated addition across a defined range. It shortens long expressions and makes patterns easier to read and evaluate.
Product notation uses the capital pi symbol to represent repeated multiplication across a defined range. It is common in sequences, factorial-style work, probability, and discrete mathematics.
Yes. The calculator accepts decimal start values, end values, and steps. That can help with custom finite patterns, provided the expression still produces valid numeric results.
You can use expressions such as sin, cos, tan, sqrt, abs, exp, log, floor, ceil, and round. Standard arithmetic operators are also supported.
The step value controls how the index changes between terms. A step of 1 moves through every value. A step of 2 skips every other value.
The running total shows how each new term changes the answer. It helps you verify the process and spot mistakes faster when comparing with manual work.
An expression can fail because of unsupported characters, invalid syntax, division by zero, or a function that returns a nonnumeric value for part of the selected range.
Yes. After calculation, you can export the generated terms and final result as CSV or PDF. That makes the output easy to store, print, or share.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.