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09.07.2020 •
Mathematics
BRAINLIEST AWARD NO.2 A sequence begins with the number 4, and subsequent numbers are determined by taking the previous number, tripling it, and adding six to the product. What is the smallest starting number ao in a sequence whose fifth term is greater than 10,000? Please explain
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Ответ:
A whole number first term to render as fifth term a value larger than 10000, should be at least 121
Step-by-step explanation:
The formula is given as recursive since it involves the previous number of the sequence, and defined as:
we also know that the first term is 4
Then in this case, the first five terms are:
So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.
Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:
So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:
therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000
Ответ:
Radius of cone in the diagram is:
4 cm
Step-by-step explanation:
As we can clearly see from the figure that diameter of cone is 8 cm
and we know that radius is half of diameter i.e.
Hence,
i.e. radius=4 cm
Hence, radius of cone in the diagram is:
4 cm