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Vesnalui [34]
3 years ago
9

Given the explitic formula, determine which term produces the given answer. f(n)=65-10n; -35

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

The 10th term.

Step-by-step explanation:

n is the term number so we have:-

65 - 10n = -35

-10n = -35 - 65 = -100

n = -100/-10

= 10


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How many 3 digit numbers are possible when a) the leading digit cannot be zero and the number must be a multiple of 4?
guajiro [1.7K]

Step-by-step explanation:

I assume the digits can be repeated.

so, e.g. 555 is a valid number for this problem, right ?

that means we start with permutations with repetition :

n^r

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r = the number of items being picked per result.

we have 10 digits (0,1,2,3,4,5,6,7,8,9), and we pick 3 of them.

that gives us (with very little surprise, I hope)

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that means 1/10 of the total amount of numbers has a leading 0, or a leading 1, or a leading 2, ...

so, we need to subtract 1/10 × 1000 from 1000 :

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that would be the numbers 100 to 999.

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how many are there ?

well, that's the funny thing about numbers : from all numbers 1/2 of them are multiples of 2 (or divisible by 2), 1/3 of them are multiples of 3 (or divisible by 3), and ... you guessed it, 1/4 of them are multiples of 4 (or divisible by 4). and so on.

and so, 1/4 of our 900 numbers are multiples of 4 :

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5 0
3 years ago
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Answer:

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