KUMON LEVEL N TEST ANSWERS WELL ARRANGED
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 -ANS-16x²+11y²=176,
x²/11 + y²/16 = 1
2.) { x-y+1≥0 { 5-2x-y≥0 -ANS-All real x values, y≥7/3
3.) Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and 14th term is 24.
a₅= a+14d=-3
a₁₄= a+13d=24 -ANS-a₃₀=72
4.) -15,-10,-5, 0, ... (through 12th term) -ANS-s ₁₂=150
5.) ∑(3k-2) -ANS-10+12 = 22
6.) Obtain the 1st term and common ratio of a geometric sequence whose 5th term is 24 and 7th term is 96. -ANS-a₅=24
a₇=96
r=±2
1st term = 3/2
7.) {s₁₀ = a(r¹⁰-1)/r-1 = 4 {s₃₀=a(r³⁰-1)/r-1 = 52 -ANS-s₆₀-s₃₀=1404
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 -ANS-16x²+11y²=176,
x²/11 + y²/16 = 1
2.) { x-y+1≥0 { 5-2x-y≥0 -ANS-All real x values, y≥7/3
3.) Obtain the 30th term of an arithmetic sequence whose 5th term is -3 and 14th term is 24.
a₅= a+14d=-3
a₁₄= a+13d=24 -ANS-a₃₀=72
4.) -15,-10,-5, 0, ... (through 12th term) -ANS-s ₁₂=150
5.) ∑(3k-2) -ANS-10+12 = 22
6.) Obtain the 1st term and common ratio of a geometric sequence whose 5th term is 24 and 7th term is 96. -ANS-a₅=24
a₇=96
r=±2
1st term = 3/2
7.) {s₁₀ = a(r¹⁰-1)/r-1 = 4 {s₃₀=a(r³⁰-1)/r-1 = 52 -ANS-s₆₀-s₃₀=1404
