Answer:
FIRST FOUR (4) TERM = 6, 18, 54,162.
COMMON RATIO = 3
Step-by-step explanation:
In geometric expression.
Tn = the nth term
a = first term
r = common ratio.
Let's take the First term of the G.P as 6 and the third term as 54. Let's find the common ratio.
3rd term will be written as:
T3 = ar² = 54
Given the first term as 6.
T3 = 6r² = 54
6r² = 54
r² = 54 / 6
r² = 9
r= √9
r = 3
Therefore common ratio = 3.
Let's use this information to get the fourth term.
T4 = ar³
when a = 6
and r = 3.
T4 = 6 * 3³
T4 = 6 * 27
T4 = 162
