Sequence & Series

Arithmetic & geometric sequences with partial sums

Grades 10–12

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Generate terms, nth term, and partial sums

First term a₁

Common diff d

Terms n

Presets

First 8 terms:

2581114172023

Steps & Formulas

nth term formula:

aₙ = a₁ + (n−1)d

a₈ = 2 + (8−1) × 3 = 23

Partial sum formula:

Sₙ = n/2 × (a₁ + aₙ)

S₈ = 8/2 × (2 + 23) = 100

n-th term (n=8)

Partial sum S8

100