KUMON LEVEL N TEST ANSWERS
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- 16x²+11y²=176, x²/11 + y²/16 = 1 2.) { x-y+1≥0 { 5-2x-y≥0 - Answer- 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 - Answer- a₃₀=72 4.) -15,-10,-5, 0, ... (through 12th term) - Answer- s₁₂=150 5.) ∑(3k-2) - Answer- 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. - Answer- a₅=24 a₇=96 r=±2 1st term = 3/2 7.) {s₁₀ = a(r¹ -1)/r-1 = 4 ⁰ {s₃₀=a(r³ -1)/r-1 = 52 - Answer- s ⁰ ₆₀-s₃₀=1404 8.) Given the sequence (aₙ): 2,5,10,17,26,37,50 complete the following exercises.a.) Obtain general term, aₙ.
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