The 8th term of the geometric sequence is 13122x^22
<h3>Explicit form of a geometric sequence</h3>
The explicit form of a geometric sequence is expressed according to the equation;
Tn = ar^n-1
where
r is the common ratio
a is the first term
n is the number of terms
Given the sequence below;
6x,18x^4,54x^7
r = 18x^4/6x
r = 3x^3
a = 6x
n = 8
Substitute to have:
T8 = 6x(3x^3)^8-1
T8 = 6x (3x^3)^7
T8 = 13122x^22
Hence the 8th term of the geometric sequence is 13122x^22
Learn more on geometric sequence here: brainly.com/question/24643676
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Answer: 4in
Step-by-step explanation:
Volume of a cylinder = πR²H
Volume of a cone = 1/3πr²h
πR²H = 1/3πr²h
π is very common so it could be cancelled, so the equation now becomes
R²H = 1/3r²h
3R²H = r²h
Now substitute for the values
h = 3 x 2² x 3
--------------
3²
= 9 x 4/9
= 4in.
Therefore, the height of the cone
h = 4in.
Answer:
Answer : A. 7 to 6
A soccer team won 7 of its 13 game
Total games played by soccer team = 13
Games won by the team = 7
Games lost = total games played - games won
So games lost = 13 - 7 = 6
Now we find the ratio of win to losses
game won = 7
games lost = 6
So the ratio of won to losses is 7 to 6
Step-by-step explanation:
∠C = 180° - (∠A + ∠B) = 180° - (64° + 85°) = 180° - 149° = 31°
