Explicit Formula: a_n=3( 32)^(n-1) First Three Terms: a_1=3, a_2= 92, and a_3= 274
Practice makes perfect
We want to write an explicit formula for the geometric sequence. To do so, we will start by recalling the general formula for a geometric sequence.
a_n=a_1r^(n-1)
Now we will substitute the given values, a_1=3 and r= 32, into this formula.
a_n= 3 ( 3/2)^(n-1)
We already know that a_1=3. To generate the second term, a_2, we will substitute 2 for n.
