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Write the arithmetic sequence

Find a formula for the general term  of the sequence assuming the pattern of the first few terms continues and the first term is

Write down the first five terms of the sequence . Write your answer in simplest form.  [answer1] [answer2] [answer3] [answer4] [answer5]

Read the following statement carefully and determine for each one of them, whether the statement is true or false for ellipses. The foci always lie on the minor axis [ans1] The sum of the distances from the foci to any point on the ellipse (the constant sum) is greater than the distance between the foci [ans2] The sum of the distances from the vertices to any point on the ellipse is constant [ans3] Let be the equation of an ellipse, then the length of the major axis is  [ans4] Let be the equation of an ellipse, and let the coordinates of the foci be

A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is [across] feet across at its opening and [deep] feet deep at its center, where should the receiver be placed? Enter your answer rounded to two decimal places.

Find the infinite sum of the geometric sequence with [x] and [y]. If the sum does not exist, write DNE. Round your answer to two decimal places.

How many terms are in the expansion of

Find the number of terms in the finite arithmetic sequence {[x], [x]+[y], [x]+2*[y], [x]+3*[y], [x]+4*[y], … , [x]+[z]*[y]}

Read the following statements about parabolas carefully and determine for each one of them whether the statement is True or False. If the focus of a parabola is the point and the directrix has the equation

Given the equation of the parabola Find the vertex: [v] Find the focus: [f]