What is the value of N?

[ska7945]

------l------l------l------l------l------

4^7 is the first segment.
4^9 is the second segment.
And N is the forth segment.
what is the value of N? (All the segments are same distance)

answer [spoiler]3(4^9)-2(4^7)[/spoiler]
explanation needed.

[kshin78]

I'm confused. I can see how OA can be correct, but can the answer also be 4^9 + 4^9?

[iplraf]

Which exactly is the first segment, the second, the third and the fourth?
Thanks.

[ska7945]

------l 4^7

------l------l 4^9

------l------l------l------l N

i am also confused with answer.

[parallel_chase]

Here is the answer

We know that all the segments are equal.

therefore each segment will be = 4^9 - 4^7

first = 4^7

second = 4^9

third = 4^9 + (4^9 - 4^7)

fourth = 4^9 + (4^9 - 4^7) + (4^9 - 4^7) = 3(4^9) - 2(4^7)

Hope this helps.

[cornell]

Here is the answer

We know that all the segments are equal.

therefore each segment will be = 4^9 - 4^7

first = 4^7

second = 4^9

third = 4^9 + (4^9 - 4^7)

fourth = 4^9 + (4^9 - 4^7) + (4^9 - 4^7) = 3(4^9) - 2(4^7)

Hope this helps.

AGREE...I've the same answer by the same calculation with "parallel_chase"

[augusto]

I think the problem is not stated correctly

4^7 is the first segment
this is AT MOST one point in a line / segment, and a point is NOT a segment.

4^9 is the second segment.
same as above

[kshin78]

Here is the answer

We know that all the segments are equal.

therefore each segment will be = 4^9 - 4^7

first = 4^7

second = 4^9

third = 4^9 + (4^9 - 4^7)

fourth = 4^9 + (4^9 - 4^7) + (4^9 - 4^7) = 3(4^9) - 2(4^7)

Hope this helps.

is 2(4^7) = 4^9 ?

I think it would be much easier to state it as 4^9 + 4^9 IMO....

but it's kind of hard to tell w/o any multiple choices...

[anksbhandari]

thanks parallel chase. difficult problem simple solution