Given that a sequence has a1=3%0D%0A%0D%0A1%0D%0A=%0D%0A3%0D%0A and r=0.2%0D%0A%0D%0A=%0D%0A0.2%0D%0A, find the third term of the sequence. Then decide which statement is true regarding the sequence.%0D%0A%0D%0AOption #1: arithmetic sequence%0D%0A%0D%0AOption #2: geometric sequence%0D%0A%0D%0AOption #3: another type of sequence%0D%0A%0D%0A(1 point)%0D%0AThe third term of the sequence is . Statement # is true for the sequence.
To find the third term of the sequence, we can use the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
Plugging in the values given:
a3 = 3 * (0.2)^(3-1)
a3 = 3 * (0.2)^2
a3 = 3 * 0.04
a3 = 0.12
Therefore, the third term of the sequence is 0.12.
Since the sequence is a geometric sequence (with a common ratio of 0.2), Statement #2 is true for the sequence.