Method of differences (polynomial-type general term) (Successive differences of terms reduce degree; constant kth difference ⇒)
jee-mainjee-advanced
Successive differences of terms reduce degree; constant kth difference ⇒ tₙ is degree k polynomial
What each symbol means
| Symbol | What it stands for |
|---|---|
| Δ | Forward difference operator |
| t_n | nth term of sequence |
When to use this
Applies when tₙ is polynomial in n; use to find explicit tₙ or sum via Σ.