Arithmetic Sequence Result
a_10 = 29 · S_10 = 155
Individual terms
Cumulative sum
Step-by-step calculation
Formula
Arithmetic: aₙ = a₁ + (n − 1)·d. Sₙ = n/2 · (2a₁ + (n − 1)·d) = n/2 · (a₁ + aₙ).
- 1Arithmetic sequence: a₁ = 2, d = 3, n = 10.
- 2n-th term: a_10 = 2 + (10 − 1) × 3 = 29.
- 3Sum: S_10 = 10/2 × (2·2 + (10 − 1)·3) = 155.
- 4Equivalently: S_10 = 10/2 × (2 + 29) = 155.