5

919611888113111981091069287108100100661088019792989411110210386669110588941039686771021031049866100106L610496949310010310294...

Question

919611888113111981091069287108100100661088019792989411110210386669110588941039686771021031049866100106L610496949310010310294

91 96 118 88 113 111 98 109 106 92 87 108 100 100 66 108 801 97 92 98 94 111 102 103 86 66 91 105 88 94 103 96 86 77 102 103 104 98 66 100 106 L6 104 96 94 93 100 103 102 94



Answers

$$\begin{array}{lrrrr} \hline 13.3 & 9.0 & 11.1 & 9.1 & 8.4 \\ 15.6 & 8.1 & 8.3 & 13.0 & 17.1 \\ 16.3 & 13.5 & 8.0 & 15.1 & 5.8 \\ \hline \end{array}$$

So you have that the following sequence. A one minus 1/3. One more night by this one with seven one word 81. So when I keep a general for that for the and, um with secrets so well, cervical, these want one. So what is that? Is a bit So what? We can call the zone a one. That one too. But once we no before. So as you can see one, huh? The future of these sequences old alternating because 50 17 was it the negative? Was it? Nobody wants to take things. One was the negative. So perhaps some miners one three engine builder on if you want to start at one. So we sent out one that he was my swan didn't. Why, Miss One can put another rightness there. So? So that for one is positive. And, uh, if you look at the thing in the denominator, there's not anything I do not know Terminator. So probably just something related. Also, hear the zone is three square. I'm on this. Oh, this is a mystery square that these three streak you. That's three to the fourth grade, so you can see that sequence. Well part of you have there One. When this one, the oh won over three squared one of those one Q one or before. So the whole the world would be a very strange place because the sequence can be read in us. What was that? But, uh, if you look in there like this when we have nothing so robbery onto so it's trucked. I want from you so that anyone you see people too. Um, 221 So you can have that description. Or we could give the grieve all that's on formula. You could describe Bill's away. Uh, because the relation oh, so records. He's, uh thank you. They so with some number, start with these and then we say, What is there well, for getting into the next number. Also, as you can see here as you increase the end, you're more decline by my nose. Warren Third. So my nose 1/3 time's a so Ben you just the next time, right? Because you said we'd want well to get minus 1/3. Just moved it by 1/3 to get one of her. Nine will multiply, buddy. Aw, 30 miles. 1:30 a.m. So it was You gonna come? Here's the records. Relation is, well, the previous them a hands. So bam plus one is a little A's event. Times miners 1/3. So you have those descriptions are not, Yes, so would be decreasing alternating.

This question gives us a sequence and asked us to determine a formula. What we know that the numerator for each term is one, and the denominators essentially add the numbers after each other times, too. So, as we said, the numerator is one and the denominator times two minus one and this works. If you plug in 1 to 3, you'll got 1 1/3 1 fifth onwards.

You're going to be subtracting these fractions. Ah We're going to start by trying to find the number, The lowest number that can be divided by 8, 5, 2 and 10. And that number will be 40. So we will make all of our denominators 40. So we have to look at what we multiply by each of our denominators In order to get 40. And in the case of eight we take eight times five to get 40. So therefore we need to take five times 5 to give us our new numerator of 25. five times 8 is 40 two times a gives us 16, two times 20 is 40 three times 20, gives us 60 10 times four is 40 And 11 times four gives us 44. So um when we subtract a negative will really be adding. So we can think of us as having a plus here, the negative 25 plus 16. Well give us -9 over 40 And then 60 -44 will give us 16. So the negative 9 -16 Gives us -25 Over 40. Now we're not quite done yet, Because both 25 and 40 Can divide by five, so our answer further simplifies into negative 5/8.

High 9.999 times 10 to the negative knife. That's like dividing by 10 9 times. So if we take this number divided by 10 9 times, it's gonna get very small. Let's go. 12345678 zeros and then the nine. And then we have three more nines after that. So if we move this decimal 123456789 places to the right, we'd be back at 9.99


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