(a) When the sequence is arithmetic, sequential terms have a common difference.
... x - 3 = (4x/3) - x . . . . differences of sequential terms are equal
... (2/3)x = 3 . . . . . . . add 3-(1/3)x
... x = 9/2 . . . . . . . . . multiply by 3/2
(The arithmetic sequence is 3, 4.5, 6. The common difference is 3/2.)
(b) When the sequence is geometric, sequential terms have a common ratio.
... x/3 = (4x/3)/x . . . . . ratios of sequential terms are equal
... x^2 = 4x . . . . . multiply by 3x
... x = 4 . . . . . . . . divide by x. (the "solution" x=0 is extraneous)
(The geometric sequence is 3, 4, 16/3. The common ratio is 4/3.)
In this item, we are to supply for the missing term on one side of the equation. The left side is given to be composed of 62.834 x 0.45. The right hand side is given to be composed of 314170 along with a missing entity.
Translating the given to mathematical expression and letting A be the unknown,
62.834 x 0.45 = 314170 A
To determine the value of A, divide both sides of the equation by 314170.
(314170A)/(314170) = (62.834 x 0.45) / 314170
A = 0.00009
The missing value is 0.00009 or 9.0 x 10^-5.
Answer:
The answer is 48600, but I'm not entirely sure if it correct.
From what I know, if I were to see ¨y=7500(1.08)t¨, we could have to substitute the t with the number of years. Looking like this, ¨y=7500(1.08) x 6¨.
The reason I don know if my answer is correct or not since I don know if you have the t next to 1.08 to represent that or to simply multiply the property of it with 6 (the number of years).
So I tried...
Step-by-step explanation:
It is given,
rqs,
the reflexive property,
sas