Find the indicated term of the arithmetic sequence.Given an arithmetic sequence with d = 16 and a5 = 72, find a20.

A. 158
B. 144
C. 318
D. 312


Answer: D

Mathematics

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Refer to the following Chaos game to answer the question(s): Start with a square ABCD in which A is located at (0, 0), B is located at  C is located at (27, 27), and D is located at (0, 27). Then, roll a fair die. We will say that A is the "winner" if we roll a 1, B is if we roll a 2, C is if we roll a 3, and D is if we roll a 4. If we roll a 5 or 6, we disregard the roll and roll again. Each roll of the die generates a point inside or on the boundary of the square according to the following rules.? Start: Roll the die. Mark the "winning" vertex and call it P1.? Step 1: Roll the die again. From P1 move two-thirds of the way straight toward the next winning vertex.

Mark this point and call it P2.? Steps 2, 3, etc.: Continue rolling the die, each time moving to a point two-thirds of the way from the last position to the winning vertex.Determine the coordinates of the point P2 corresponding to the sequence of rolls 1, 2, 2, 1. A. (24, 0) B. (0, 0) C. (18, 0) D. (8, 0) E. none of these

Mathematics

Evaluate , where 

?

?
Round the answer to two decimal places, if necessary
?
 __________

Fill in the blank(s) with the appropriate word(s).

Mathematics

Write out the sum. Do not evaluate.

A. 1 + 3 + 8 + 13 + 18 + 23 B. 3 + 8 + 13 + 18 + 23 + 28 C. 3 + 8 + 13 + 18 + 23 + 28 + ... D. 65

Mathematics

Solve the problem.Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 4 of them. In how many ways can he select 4 of the books to buy? How many ways can he make his selection if he decides that one of the books is a must?

A. 126; 56 B. 3024; 336 C. 1512; 168 D. 15,120; 6720

Mathematics