Write an explicit formula for an the nth term of the recursi

Write an explicit formula for an, the nth term of the recursively defined sequence. 2x 1.a, (x)(x+1)n>1 +2 2M-2 2-2 4. 4. =n1(x)(x+1)\' ,n > 1 Submit Answ

Solution

a1 = x

a2 = 2x ( x+1)^2

a3 = 3 ( x+1)^2 * 2x (x+1)^2

= 6x (x+1)^4

a4 = 4(x+1)^2 * 6x (x+1)^4

= 24x (x+1)^6

therefore , explicit formula can be written as

an = n! (x)(x+1)^2n-1 , n > 1

option 4 is correct