高中数学百科知识竞赛中等难度

Medium1.Find the 11th term of the geometric sequence that commences 1, , 3, .Answer : 2432.Determine the gradient function : Answer: 3. Find the centre and radius of the circle with equation: .Answer: centre (5, -3), radius : 4. Write down the domain and range of the function .Answer: domain: or . Range:5.Fourteen girls and seven boys are applying for five student council positions. Determine how many ways the council positions can be filled if at least four girls are selected.Answer: =90096.What number could be added to each of the three numbers 3, 11 and 27 so that the resulting numbers form a geometric sequence? Answer: 57. $4000 is invested into an account paying interest at 8%, compounded annually and $200 is withdraw from the account after each 12 months . determine (nearest cent) the amount in the account at the end of ten years, after the $200 for the year has been withdrawn. Answer: $8635.698.Find the equation of the quadratic function that has exactly the same shape as that of , has the same line of symmetry as and that cuts the y-axis at the point Sol: 9.State the range of the function for the given domain:. Sol: 10.For the sequence -1,0,7,26,63, determine the sixth termAnswer:12411.Determine the equation of the function for the table belowx12345y-60-30-20-15-12Answer: 12.A card is randomly drawn from a normal pack. What is the probability that the card is a red or a two?Answer: 13.In triangle ABC , a=3.5, b=4 Find the size of B to the nearest degree.Answer:14.Determine whether the two circles with equations and have two points in