Question

Write the explicit formula for the geometric sequence.

3, 6, 12, 24,

Answer 1

easy
each term is multiplied by 2

first term is 3

an=a1(r)ⁿ⁻¹
a1=first term
r=common differnce

a1=3
r=2

an=3(2)ⁿ⁻¹
an=3(2ⁿ)(2⁻¹)
an=3(2ⁿ)(1/2)
an=(3/2)(2ⁿ) is the expliciti formula
or
an=1.5(2)ⁿ