To find the first four terms of the geometric sequence with a common ratio of 5 and a first term of 4.5, we can use the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
where:
an = the nth term
a1 = the first term
r = the common ratio
n = the term number
Plugging in the values given:
a1 = 4.5
r = 5
For n = 1:
a1 = 4.5 * 5^(1-1) = 4.5 * 1 = 4.5
For n = 2:
a2 = 4.5 * 5^(2-1) = 4.5 * 5 = 22.5
For n = 3:
a3 = 4.5 * 5^(3-1) = 4.5 * 25 = 112.5
For n = 4:
a4 = 4.5 * 5^(4-1) = 4.5 * 125 = 562.5
Therefore, the first four terms of the geometric sequence with a common ratio of 5 and a first term of 4.5 are:
4.5, 22.5, 112.5, 562.5
So, the correct answer is B.
the common ration of a geometric sequence is 5. what are the first four terms of the sequence if its first term is 4.5?
a.4.5,0.9,0.18,0.036
B.4.5,22.5,112.5,562.5
1 answer
1 answer