Answer:a) 1,2,6,24,120
Explanation:
The formula for the nth term of the sequence is expressed as
n=(n+1)!/n+1
For the first term, n = 1. Therefore,
(1+1)!/(1+1) = 2!/2 = (2×1)/2 = 1
For the second tern, n = 2. Therefore,
(2+1)!/2+1 = 3! /3 = (3×2×1)/3 = 6/3 = 2
For the third term, n = 3, therefore
(3+1)!/3+1 = 4!/4 =(4×3×2×1)/4 = 6
For the fourth term, n = 4. Therefore
(4+1)!/4+1 = 5!/5 = (5×4×3×2×1)/5 = 24
For the fifth term, n = 5. Therefore
(5+1)!/5+1 = 6!/6 = 6× 5×4×3×2×1)/6 = 120