Exam (elaborations)
Kumon Level N Test 100% solved
- Course
- Institution
Exam of 3 pages for the course KUMON LEVEL at KUMON LEVEL (Kumon Level N Test)
[Show more]
Content preview
Kumon Level N Test1. Given the fixed points F(0 ,√5) and F' (0 ,-√5), obtain the equation of the locus point P(x, y), such that PF +PF' = 8 - Answer- √[x^2+(y-V5)^2]+√[x^2+(y+V5)^2]=8
x^2/11+y^2/16 = 1
2 Graph the region satisfying the given system of inequalities, and then state the range of values x and y
x-y+1 ≥ 0
5-2x-y ≥ 0 - Answer- all real numbers for x, y ≤ 7/3
3. Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and whose 14th term is 24. - Answer- a+4d=-3, a+13d=24, a=-15, d=3
72
4. Obtain the sum of the following arithmetic sequence.
-15, -10, -5, 0, ... (through the 12th term) - Answer- 150
5. 4
Σ (3k - 2) =
k=1 - Answer- 22
6. Obtain the 1st term and common ratio of a geometric sequence whose 5th term is 24 and 7th term is 96
First term:
Common ratio: - Answer- ar^4=24, ar^6=96
1st term: 3/2
Common ratio: ±2
7. Given a geometric sequence whose sum of the first 10 terms is 4, and whose sum of the terms from the 11th through 30th term is 48, obtain the sum of the terms from the 31st through the 60th term. - Answer- S10=a(r^10-1)/r-1=4
S30=a(r^30-1)/r-1=52
r^10=3, r^60= 1456
1404
8. Given the sequence [an]: 2, 5, 10, 17, 26, 37, 50, ..., obtain the general term an, and the sum of the first n terms, Sn - Answer- bn=2n+1, an=n^2+1
an = n^2+1
Sn = n/6(2n^2 +3n +7)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller millyphilip. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53022 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now