Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
= = 9
r² = 9 ⇒ r = = 3 → C
Answer:
2/3 would be equal to 4/6, not 5/6.4/5 can't be equivalent to 2/3 either.
Step-by-step explanation:
1.
An expression of the form
is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
can be written as:
2.
when we subtract or add a fraction
from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
from 8,
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D
Answer:
x = 6√2
Step-by-step explanation:
It is a 45°45°90° triangle so you can use the ratio.
x : x√2
x = 6√2