What is this equations name: ax+by=c
1 answer:
You might be interested in
Answer:
; {-3,-9, -27,- 81, -243, ...}
; {-3, 9,-27, 81, -243, ...}
; {3, 1.5, 0.75, 0.375, 0.1875, ...}
; {243, 81, 27, 9, 3, ...}
Step-by-step explanation:
The first explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.
The second explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.
The third explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.
The fourth explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.
Answer:
The function have a constant ratio
No, it does not represent an exponential function.
Step-by-step explanation:
As given,
Ines has saved $5. She doubles the amount she saves each week.
⇒ In first week she saved = $5
In second week she saved = 2×$5 = $10
In third week she saved = 2×$10 = 20
In fourth week she saved = 2×$20 = 40
and so on..
∴ we get the series
5, 10, 20, 40 ,.......
If the series is given as a, b, c, d, ..... , then
The common difference is defined as d = b-a = c-b
The common ration is defined as r =
Here, in the given question
The series is - 5, 10, 20, 40
This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)
As 5 ≠ 10
So the function does not define common difference .
Now,
This has common ratio , r =
As 2 = 2
So, the function represent common ratio
Now,
The function does not represent an exponential function because it is increased by common ratio.