Kumon Level N Test EXAM ELABORATIONS QUESTIONS AND VERIFIED ANSWERS 2025 UPDATE | 100% SOLVED

Kumon Level N Test EXAM ELABORATIONS
QUESTIONS AND VERIFIED ANSWERS 2025 UPDATE |
100% SOLVED
1. 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)



9. lim 2n^2 - 1/3n^2 +4 = - (ANSWER)2-1/n^2/3+4/n^2

2/3



10. lim √3n/√2n+1 = - (ANSWER)√3/√2+1/n