Math

Arithmetic Sequence Calculator

Find the nth term and sum of an arithmetic sequence.

Calculated Output

nth term 29

Sum of first n 155

Formula: aₙ = a₁ + (n−1)d ; Sₙ = n(a₁ + aₙ)/2

Step-by-Step Breakdown

1. Values used:

2. First term = 2

3. Common difference = 3

4. Term number (n) = 10

6. nth term = 29

7. Sum of first n = 155

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The math behind it

nth term = a₁ + (n−1)×d. Sum of first n terms = n × (first + last) ÷ 2.

2, 5, 8, … 10th term = 29, sum = 155.

Negative d?

Then the sequence decreases each step.