Multiple choice

If a series is 3, 4, 10, 33, 136… and its (n^{th}) term is (T_n = 28819) then find the value of (n).

  1. 9

  2. 7

  3. 8

  4. 10

  5. 6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Pattern: T(n) = T(n-1)×n + n. T1=3, T2=3×2+2=8 (but series shows 4), T3=4×3+3=15 (series shows 10). Alternative pattern: T(n) = T(n-1)×(n-1) + n, with T1=3, T2=4, T3=10, T4=33, T5=136, T6=685, T7=4116, T8=28819. The pattern is multiply by increasing integers and add sequential values.

Keep practicing — related questions