Question

A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the product of all terms in the sequence preceding it,

e.g., a3 = (a1)(a2) and a4 = (a1)(a2)(a3). if an = t and n > 2, what is the value of an+2 in terms of t ?

Answer 1

since n>2 n
n can be 3 for example

so a3=t

and from the sequence we know a3 = 15
because it is the product of a1(3) and a2( 5)

so t = 15