Exam Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) At what term will the geometric sequence 1, 2, 4, 8, . . . become greater than the arithmetic sequence 0, 20, 40, 60, . . .?
1)
2) What is the sum of three consecutive integers in terms of the middle number x? What would the sum be in terms of the middle number for five and seven consecutive integers? What can you generalize about the sum of n consecutive integers where n is odd?
2)
3) Use the strategy of writing equations to justify that if y = 2x and z = y + 5, then z is greater than x.
3)
4) Which terms, n and m, in the arithmetic sequence 175, 250, 325, . . . and the geometric sequence 1, 10, 100, . . ., respectively, have the same value? What is the value?
4)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 5) A man earned $ 2,500 the first year he worked. If he received a raise of $ 500 at the end of each year, what was his salary during the 15 th year? A) $ 10,000 B) $ 9,500 C) $ 7,000 D) None of these Complete the magic (addition) square. 6) Use each number 2, 3, 4, 5, 6, 7, 8, 9, and 10 once. 5 4 9
6 2
5)
6)
7
A)
B) 5 4 9
8 3 6 10 2 7
5 4 9
C)
8 10 6 3 2 7
D) 5 10 4 6 9 2
3 8 7
5 10 4 6 9 2
8 3 7
Find the number of terms in the sequence or the sum of the sequence as requested. 7) Find the following sum: 17 + 18 + 19 + . . . + 41 A) 742 B) 684 C) 725
1
D) 691
7)