Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer:
Isosceles triangle
Step-by-step explanation:
Answer:
LM = 18
Step-by-step explanation:
BC = 4
CD is twice that, so CD is 8
Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.
You get 2.25. This is how much bigger JKLM is than ABCD.
Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.
You'll get 18.
Hope this helps!
At least 4 means its minimum value is 4 so n≥4
