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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.
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Number to Complete the Square CalculatorFind the number to complete the square for x² + bx. Enter b and instantly get (b/2)², the constant that turns it into a perfect square trinomial.
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Variance & Standard Deviation CalculatorCompute population and sample variance plus standard deviation from a list of numbers. Shows mean, sum of squares, and step-by-step results.
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Density, Mass and Volume SolverSolve the density formula ρ = m/V for density, mass or volume. Enter any two values and instantly get the third with this free physics calculator.
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Evaluate an Expression by Substitution CalculatorSubstitute variable values into the expression a·x + b·y + c and simplify instantly. See each term and the final evaluated result step by step.
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Base Conversion CalculatorConvert numbers between binary, octal, decimal and hexadecimal. Enter any value, pick the source and target base, and get the result instantly.
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Compare Fractions CalculatorCompare two fractions instantly using cross multiplication. See which fraction is greater, smaller, or equal plus decimal values.