Question

If a1=1 and an+1=ann+2 for n≥1, determine a1,a2,a3, and a4

Answer 1

Answer:

a1 =1

a2= 1/3

a3= 1/12

a4 = 1/60

Step-by-step explanation:

a(n+1) = an/(n+2)

if n=1

a(1+1)= a1/(1+2)

a2= a1/3

a2= 1/3

if n=2

a(2+1)= a2/(2+2)

a3= a2/4 = a2 × 1/4

a3= 1/3 × 1/4 = 1/12

if n=3

a(3+1)= a3/(3+2)

a4= a3/5 = a3 × 1/5

a4= 1/12 × 1/5 = 1/60