Please answer all of these questions in detail. Please explain as well.

.ul TFW '6' 10:58 AM 2% C) i instructureuploads.33.amazonaws.com 2 Find the indicated sum. 25) Find the sum of the first 20 terms of the arithmetic sequence: 42, 6, 0. 6, . . . Use the formula for the sum of the first n terms of a geometric sequence to solve. 26) Find the sum of the first 10 terms of the geometric sequence: 4, 12, 36. 108, 324 ..... Find the standard form of the equation of the parabola using the information given. 27) Vertex: (2. 5); Focus: (2, -7) The graph of a function is given_ Use the graph to find the indicated limit and finction value, or state that the limit or function value does not exist. 23) 3. lim f(x) b. l) xl Find the standard form of the equation of the ellipse satisfying the given conditions. 29) Endpoints of major axis: (2, \"and (2. 7); endpoints of minor axis: (4, 4) and (U, 4); Use a sketch to find the exact value of the expression. 30) cos [tan'l %] Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. 31) Find all when 31: 4, r = 2_ Write the partial fraction decomposition of the rational upression. llx+l 32) x3 1 Convert the rectangular equation to a polar equation that expresses r in terms of B. 33) y = 6 34)x=4 Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. 49 35) 2 (3i + 2) i: 1 Write the first three terms in the binomial expansion, expressing the result in simplied form. 35) (x + (020 Find the exact value of the trigonometric function. Do not use a calculator