1. which of the following equations is the nth term of a sequence -1, 3, 7, 11, 15, 19, ...?
a. an = 3n
b. an = 4n -5
c. an = (n+2)2squared
d. an = 5nsquared + 4n
2. What is the 20th term of the sequence an = 2nsquared - 3?
a. 37
b. 979
c. 797
d. 77
3. Find the value of a1 for an arithmetic sequence in which a10 = 2 and d = -1.
a. -7
b. -16
c. 7
d. 12
4. Determine the common difference of the sequence -6a + 9b, -4a + 6b, -2a + 3b, ...
a. 3a - 2b
b. 2a - 3b
c. 3a - 3b
d. 2a - 2b
5. what are the three arithmetic means between 4 and 32?
a. 18, 25, 28
b. 11, 18, 25
c. 10, 18, 26
d. not possible
6. How many terms are there in an arithmetic progression whose first and last terms are 3 and 42 respectively and whose common difference is 3?
a. 14
b. 15
c. 16
d. 17
7. Find the value of a7 in an arithmetic sequence if a3 = -4 and a8 = 11
a. 8
b. -10
c. 2
d. -1
8. Determine the sum of all odd integers between 6 and 24?
a. 130
b. 131
c. 133
d. 135
9. What is the value of p so that the numbers 7p + 2, 5p + 12, 2p - 1, ... form an arithmetic sequence?
a. -8
b. -5
c. -13
d. -23
10. If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean.
a. 18
b. 25
c. 32
d. 46
11. What is the common difference in the arithmetic sequence 3, 13/4, 7/2, 15/4, 4, ...?
a. 4
b. 3/4
c. 1/4
d. 5/2
12. Which the term of the sequence 5, 3, 1, -1, .... is -27?
a. 15th
b. 16th
c. 17th
d. 18th
13. Find the sum of the first 20 terms of the sequence 1, 3, 5, 7, 9, ...
a. 100
b. 200
c. 300
d. 400
14. how many numbers are there between 98 and 200 that are divisible by 5?
a. 19
b. 20
c. 21
d. 22
15. if the 3rd and 15th terms in the sequence are 2 and -34 respectively, what are the first five terms?
a. -22, -10, 2, 14, 26
b. 8, 5, 2, -1, -4
c. -14, -6, -2, 10, 18
d. 0, 1, 2, 3, 4

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Answers

2016-07-18T09:05:34+08:00
an = a1 + (n - 1)d; d = 4
     = -1 + (n - 1)(4)
     = - 1 + 4n - 4
     = 4n - 5
 therefore, b. an = 4n - 5

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