The sum of two consecutive numbers is always a multiple of 3. True or false?
1 answer:
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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.
Answer:
Stephen's wife got £354 more than his son.
Step-by-step explanation:
Given:
Amount of Lottery = £2950
Now Given:
Stephen & Richard share a lottery amount in the ratio 2 : 3
Let the common factor between them be 'x'.
So we can say that;
Dividing both side by 5 we get;
So we can say that;
Stephen share would be =
Now Given:
Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2.
Let the common factor between them be 'y'.
So we can say that;
Dividing both side by 10 we get;
So Stephen's wife share =
And Stephen's son share =
Now we need to find how much more her wife got then her son.
To find how much more her wife got than her son we will subtract Stephen's son share from Stephen's wife share.
framing in equation form we get;
Amount more her wife got than her son =
Hence Stephen's wife got £354 more than his son.