Marnie had two pages of math homework and four pages of ELA homework. If each page had 14 questions on it, how many questions di
1 answer:
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<h3>Answer:</h3>
You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:
a2 = 2·2 -1 = 3
a3 = 2·3 -1 = 5
a4 = 2·5 -1 = 9
a5 = 2·9 -1 = 17
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Trying choice B on the last term, we have
... a5 = 3·a4 -3 = 3·9 -3 = <em>24 ≠ 17</em>
You can build as many numbers as you like: just pick three primes and repeat them as required.
The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.
Since , it is enough that the prime repeating three times is larger than 10.
So, for example, we can pick
- 2, not repeating
- 3, repeating twice
- 11, repeating 3 times
The result is
