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
Sorry if these are not correct, but this is what i came up with
1. -36 is less
2. Decimal is 0.12 and fraction is 3/25
3. About 3 1/3 quartz of paint (not too sure)
4. Commutative property of addition
5. Associative Property of multiplication
6. Additive identity
7. Distributive property
8. Multiplicative Property of Zero
This can be represented by the expression 4d.