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# STEP 2016 Solutions Watch

1. so grade boundary predictions?
2. STEP III: Question 4

Sum to N
Note that

So, it follows, by re-writing and telescoping, we have:

Sum to infinity

Now, take , so that for we have meaning that our sum is:

Hyperbolic sum

Write the hyperbolic sum in exponential form:

So take and use the previous result, noting that we have:

Now, for the final result, it's simply double the sum and adding on to account for the term. This cleans up to
3. (Original post by Zacken)
STEP III: Question 4

Sum to N
Note that

So, it follows, by re-writing and telescoping, we have:

Sum to infinity

Now, take , so that for we have meaning that our sum is:

Hyperbolic sum

Write the hyperbolic sum in exponential form:

So take and use the previous result, noting that we have:

Now, for the final result, it's simply double the sum and adding on to account for the term. This cleans up to
Yes so, I did the right thing for last part but didnt simplify and ofcourse i used x=e^2y. Lose like 5?

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4. I'll post a solution to 8 if you'd like?
5. (Original post by student0042)
I'll post a solution to 8 if you'd like?
6. Q2 is my *****. Had a beauty to that, it was eazy. Need to go pick up my little brother first.

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7. EDIT:
someone else do q7, Latex ****ing trolled me hard
8. Q12 is mine guys

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9. Anyone got a copy of the paper yet?
10. (Original post by Mathemagicien)
2 late
😥😥 I cri
11. (Original post by Shrek1234)
Alright Q8. I don't have access to a paper, so I may have remembered the question incorrectly, but I got the same answers as yesterday, so...
12. bagsy q1

apparently my latex is ugly
13. (Original post by Mathemagicien)
...
Q 12 was beautiful, probably the easiest STEP III stats question ever.
14. (Original post by Zacken)
STEP III: Question 4

Sum to N
Note that

So, it follows, by re-writing and telescoping, we have:

Sum to infinity

Now, take , so that for we have meaning that our sum is:

Hyperbolic sum

Write the hyperbolic sum in exponential form:

So take and use the previous result, noting that we have:

Now, for the final result, it's simply double the sum and adding on to account for the term. This cleans up to
how much for all that but not rewriting blabla+2sechy as 2cosechy?
15. (Original post by gasfxekl)
how much for all that but not rewriting blabla+2sechy as 2cosechy?
19
16. (Original post by Zacken)
19
Zacin. I used x=e^2y but then in last prt i subtracted r=1 term cause i was rushin. I still doubled and added r=0. How many lost

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17. (Original post by physicsmaths)
Zacin. I used x=e^2y but then in last prt i subtracted r=1 term cause i was rushin. I still doubled and added r=0. How many lost

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Probs lose 5 or 6 marks.
18. (Original post by Zacken)
Probs lose 5 or 6 marks.

Decent ttntntntnt
19. (Original post by sweeneyrod)
Q 12 was beautiful, probably the easiest STEP III stats question ever.
Ikr! I began it right at the end so ran out time 😥😥 Could've been an easy 20

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20. (Original post by Mathemagicien)
I know, I felt bad doing it, it really feels like cheating
How do you think the marks willbe allocated between each part?

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