Arithmetic progression

Find any term of a sequence with a constant difference.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
aₙ = a + (n − 1)d

Variables & units

First term
Numeric value · minimum -1000000000, maximum 1000000000
Common difference
Numeric value · minimum -1000000000, maximum 1000000000
Term number
Numeric value · minimum 1, maximum 1000000

Worked example

3, 7, 11, … has its 10th term at 39.

Assumptions

The first term is n = 1, so use n − 1 differences.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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