Arithmetic Sequence Calculator
Find the nth term, sum, and properties of an arithmetic sequence given the first term, common difference, and number of terms.
Nth Term
48.0000
Average25.5000
Arithmetic Sequence
nth Term
aₙ = a₁ + (n - 1) × d
Sum of n Terms
Sₙ = n/2 × (2a₁ + (n-1)d)
or equivalently: Sₙ = n/2 × (a₁ + aₙ)
An arithmetic sequence has a constant difference between consecutive terms.
Example Calculation
Arithmetic sequence: first term = 3, common difference = 5, find the 10th term and sum.
- 01a₁₀ = 3 + (10-1) × 5 = 3 + 45 = 48
- 02Sum = 10/2 × (3 + 48) = 5 × 51 = 255
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