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Geometric Sequence Common Ratio CalculatorFind the common ratio (r) of a geometric sequence by dividing any term by the term before it. Fast, accurate, with worked examples.
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Complete the Sequence Pattern CalculatorFind the next number in a sequence. Detects arithmetic (constant difference) or geometric (constant ratio) patterns and extends them automatically.
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Partial Sum of a Series (Σ) CalculatorCompute the partial sum Σ from i=m to n of common functions f(i): i, i², i³, linear a·i+b, geometric a·rⁱ, and harmonic 1/i.
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Remaining Amount After n Half-Lives CalculatorCalculate how much of a substance remains after a given time using the half-life decay formula N = N₀ · (1/2)^(t/T½). Free, instant, accurate.
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Two-Worker Time Together CalculatorSolve work-rate word problems: if A finishes in a hours and B in b hours, find how long they take working together with t = a·b/(a+b).
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Find the nth Term Rule of a Sequence CalculatorFind the nth term of an arithmetic or geometric sequence. Enter your terms, auto-detect the common difference or ratio, and get the nth-term rule.
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Sum of First n Terms of an Arithmetic Sequence CalculatorCalculate the sum of the first n terms of an arithmetic sequence from the first term, common difference, and number of terms. Free and instant.
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Celsius–Fahrenheit Equation SolverConvert between Celsius and Fahrenheit using the exact equation F = 9/5·C + 32 and C = 5/9·(F − 32). Solve either direction instantly.
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Explicit Formula for an Arithmetic Sequence CalculatorFind the nth term of an arithmetic sequence using the explicit formula aₙ = a₁ + (n−1)·d. Enter the first term, common difference, and term number.
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Complex Number Absolute Value (Modulus) CalculatorCompute the absolute value (modulus or magnitude) of a complex number a + bi using |a + bi| = sqrt(a^2 + b^2). Also shows the argument.
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New Value After Percent Change CalculatorFind the new value after applying a percent increase or decrease to an original number. Enter the old value and percent change to get the result instantly.
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Divisibility Test CalculatorCheck if a number is divisible by another instantly. Enter n and a divisor (2–11 or any value) to get yes/no, the quotient, and the remainder.
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Digital Root & Digit Sum CalculatorFind the digit sum and digital root of any whole number instantly. Uses digital root = 1 + (n-1) mod 9 and adds all base-10 digits.
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Collatz Conjecture (3n+1) CalculatorCompute the Collatz (3n+1) sequence for any positive integer. Find total steps to reach 1 and the highest value reached along the way.
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Sum of First n Cubes CalculatorCompute the sum of the first n cubes (1³+2³+...+n³) instantly using the closed-form identity (n(n+1)/2)². Fast, exact, with worked steps.
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Set Union, Intersection and Difference CalculatorCompute the union, intersection, difference and symmetric difference of two sets. Enter comma-separated elements and get A∪B, A∩B, A−B instantly.
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Solve for X — Linear Equation CalculatorSolve any linear equation of the form ax + b = cx + d for x. Handles unique solutions, no solution, and infinitely many solutions instantly.
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Sum of First n Terms of a Geometric Sequence CalculatorCalculate the sum of the first n terms of a geometric sequence from the first term, common ratio, and number of terms. Free, fast, and accurate.
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Solve b^x = a for x CalculatorSolve the exponential equation b^x = a for the unknown exponent x using logarithms: x = ln(a)/ln(b) = log base b of a. Free instant calculator.
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Domain of a Rational Function CalculatorFind the domain of a rational function by solving the denominator equal to zero. Supports linear and quadratic denominators with instant excluded values.
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Equations with Variables on Both Sides CalculatorSolve linear equations of the form ax + b = cx + d. Enter the coefficients and constants to find x instantly, including no-solution and identity cases.
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Literal Equation Solver CalculatorSolve literal equations for a chosen variable using inverse operations. Rearrange formulas like A=½bh, d=rt, V=IR and y=mx+b to isolate a variable.
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Complete Factored Form of a Quadratic CalculatorConvert any quadratic ax²+bx+c into complete factored form a(x−r₁)(x−r₂). Solves for real or complex roots using the quadratic formula instantly.
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Sum of a List of Numbers CalculatorAdd up any list of numbers instantly. Paste comma, space, or newline separated values to get the sum, count, mean, minimum, and maximum.
