fill in the missing number 2,8,27,85,260,____,2365 And if possablie explain?

Question

fill in the missing number 2,8,27,85,260,____,2365 And if possablie explain

Answer 1

786

Multiply the previous term by 3 and then add, successively 2, 3, 4, 5, 6, 7

3 x 2 = 6 + 2 = 8
3 x 8 = 24 + 3 = 27
3 x 27 = 81 + 4 = 85
3 x 85 = 255 + 5 = 260
3 x 260 = 780 + 6 = 786
3 x 786 = 2358 + 7 = 2365

Answer 2

Can't help feeing that the oft-repeated ticking off "do your own homework" is a bit pointless, somebody will always give kt (katie?) and her age-group the answers because they find the question intriguing.

Maybe what should happen is that these questions should be listed under Homework Help then it is unambiguous what is going on,

It seems perfectly reasonable to me for kt to ask hoiw to approach a problem if she is stuck. In this case it is a matter of being observant and having a feel for the properties of numbers. Noticing that 27 is followed by 85 which is only a little more than 81, which is the next power of 3 after 27.

I tried supposing it was an adjustment to successive powers of 3

3 - 1 = 2, 9 - 1 = 8, 27 - 0 = 27, 81 + 4 = 85, 243 + 17 = 260, 729 + ? = ??, 2187 + 178 = 2365

but couldn't see a pattern. Then I twigged that three 8s were 24 and add 3 = 27 and that three 27s were 81 and add 4 = 85 and worked forwards and backwards from that mini-pattern to find 786 as the right answer,

So it is really intelligent guesswork and hunches based on what you notice giving you the germ of an idea.

And so skill comes with practice, persevering and a liking for numbers and for their patterns. finding such puzzles intriguing and liking the challenge they present,

Answer 3

ans is 786

2 X 3 = 6 + 2 = 8
8 X 3 = 24 + 3 = 27
27 X 3 = 81 + 4 = 85
85 X 3 = 255 + 5 = 260
260 X 3 = 780 + 6 = 786
786 X 3 = 2358 + 7 = 2365

Answer 4

2 X 3 = 6 + 2 = 8
8 X 3 = 24 + 3 = 27
27 X 3 = 81 + 4 = 85
85 X 3 = 255 + 5 = 260
260 X 3 = 780 + 6 = 786
786 X 3 = 2358 + 7 = 2365

See the pattern?

Answer 5

This is what you write in your math homework book:

"Call the Nth term T(N).

We know that T(1) = 2.

We observe that T(N) = 3 x T(N-1) + N

So, the missing number T(6) is given by:

T(6) = 3 x T(5) + 6,

We know that T(5) = 260.

So, T(6) = 3 x 260 + 6 = 786."

(You need to put it in exactly like this, or your teacher won't believe you really did it and understand the logic.)

Hope that helps!

Answer 6

The missing number is 786. The pattern involves the placement of the number in the sequence.
i = place in sequence
n = value of number

to get the next number in the sequence, the formula is (3n)+(i+1)

For instance, to find the third # in the sequence, this would be:
(3(8)) + (2+1) = 27

Hope this helps!

Answer 7

the respond is -7 What you do replace the "?" with "x" for a variable (it works like that, do no longer ask why.) Then, you upload 2 to the two facets to do away with the "-2". that's because provides as much as 0 on the unique area and eliminates that variety. you may desire to get 12. Then, to do away with nineteen, you subtract the nineteen from the two facets to hold that 19 right down to a nil. in case you observed that with a calculator you may desire to get -7. or you're able to do the easy way, it relatively is subtract 19-12, which you get 7, yet in view that 12 comes first, you employ a damaging sign. Any questions?

Answer 8

Please do your own homework. Look at what you've got. You have a two and an eight. Then you have an eight and a twenty-seven. What is the linking factor here? If you use your brain long enough, you'll figure it out.

Answer 9

786 sounds right to me

Answer 10

z=2
y=3x+z
z=z+1
therefore:
8=3x2+2
27=3x8+3
85=3x27+4
260=3x85+5
786=3x260+6
2365=3x786+7

The answer is 786.