A. 15 + 4n         B. 11 - 4n           C. 11 + 4n         D. 19 - 4n         E. 19 + 4n

    A. 16         B. 17          C. 18          D. 19          E. 20

    A. 2         B. 3          C. 4          D. 5          E. 6

4. If a, b, c are in arithmetic sequence, which of the following is/are also in arithmetic sequence(s)?

        (I) c, b, a         (II) 3a, 3b, 3c         (III) a + 2, b + 2, c + 2

    A. (I) only     B. (III) only     C. (I) and (II)    D. (I) and (III)    E. (I), (II) and (III)

5. If a, b, c are in arithmetic sequence, which of the following is/are also in arithmetic sequence(s)?

        (I) -a, -b, -c         (II) , ,       (III) , ,

    A. (I) only     B. (III) only     C. (I) and (II)    D. (I) and (III)    E. (I), (II) and (III)

6. The 4th term of an arithmetic sequence is 8 and the sum of the first eight terms is 76. Find the first term.

    A. - 3         B. - 1         C. 0         D. 1          E. 3

7. Find the sum of all the integers in the arithmetic sequence 3, , 8, , ..., 93.

    A. 864         B. 912         C. 960          D. 1 728          E. 1 824

8. If the sum of 4 consecutive odd integers is 4x + 8, ten the smallest integer is

    A. x - 2         B. x - 1         C. x         D. x + 1          E. x + 2

9. The exterior angles of an n-sided convex polygon are in arithmetic sequence. If the common difference and the             smallest angle are both 10° , find the value of n.

    A. 6         B. 7          C. 8         D. 9          E. 10

10. The fourth and the fifth terms of a geometric sequence are 250 and 1 250 respectively. Then the nth term is

    A.         B.         C.         D.         E.

11. Which of the following is/are in geometric sequence(s)?

        (I) , ,         (II) 3, - 9, 27         (III) , ,

    A. (I) only          B. (II) only          C. (I) and (II)          D. (I) and (III)         E. (I), (II) and (III)

12. If a, b, c are in geometric sequence, which of the following is/are also in geometric sequence(s)?

        (I) , ,         (II) , ,         (III) , ,

    A. (I) only          B. (II) only          C. (III) only          D. (II) and (III)         E. (I), (II) and (III)

13. Find the sum of the geometric series 4 + 20 + 100 + ... to 7 terms.

    A. 78 124         B. 15 624          C. 390 624          D. 3 124          E. 78 120

14. How many terms are there in the geometric series 1+ 2 + 4 + ... so that the sum equals 1 023?

    A. 7         B. 8          C. 9          D. 10          E. 11

15. Which of the following sequences can be summed to infinity?

        (I) 10, 9, 8, ...         (II) 27, 9, 3, ...         (III) - 4, 2, - 1, ...

    A. (I) only      B. (III) only      C. (I) and (II)         D. (II) and (III)    E. (I), (II) and (III)

16. The first term of a geometric sequence is 5. If the sum to infinity is 20, what is the common ratio?

    A.         B.         C.         D.         E.

17. The geometric mean of two numbers is 4. If one of the numbers is , what is the other one?

    A. 8         B. - 8         C. 16          D. 32          E. - 32

18. How many terms are there in the geometric sequence , , , ..., ?

    A. 12         B. 13          C. 14          D. 15          E. 16

19. If S(n) is the sum of the first n terms of a sequence and , what is the 5th term of the sequence?

    A. 11         B. 13          C. 15          D. 35          E. 83

20. Find the sum of the series .

    A. - 4         B.         C.       D. 4         E. 8