Maths & numbers

Finite arithmetic geometric series calculator

Add a finite series whose arithmetic term is weighted by a geometric multiplier.

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Behind the numbers

How this calculation works

If the arithmetic step is zero, the weights form an ordinary finite geometric series multiplied by the first term.

THE FORMULAS = Σ(a + kd) rᵏ for k = 0,…,n−1

A worked example

1 + 2/2 + 3/4 + 4/8 = 3.25.

Good to know

The first term has geometric weight 1.

Read the result

Add a finite series whose arithmetic term is weighted by a geometric multiplier.

The primary result is labeled “Finite sum”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

The first term has geometric weight 1.

For a related exercise, try the quadratic equation solver.

A few questions, answered

How can I check the default inputs by hand?

1 + 2/2 + 3/4 + 4/8 = 3.25.

Which rule does this calculator apply?

S = Σ(a + kd) rᵏ for k = 0,…,n−1

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