Write the explicit formula for the geometric sequence 2, 8, 32, 128

The explicit formula for the geometric sequence is given by:

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

In which is the first term.

In this problem:

Hence, the explicit formula is:

More can be learned about geometric sequences at link

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3