Free Printable IM3 S2 Unit Test #1---Mrs. Chong

1.

Find the 66th term of the arithmetic sequence −10, 7, 24, …

a)

1095

b)

1105

c)

1088

d)

1129

2.

Write an explicit formula for a(n), the nth term of the sequence 11, 18, 25, ….

a)

$a_n = 7n + 4$

b)

$a_n = 7n - 4$

c)

$a_n = 11 + 7n$

d)

$a_n = 5n + 6$

3.

Write the following series in sigma notation. 5 + 15 + 25 + 35 + 45 + 55 + 65

a)

$\sum_{k=0}^{6} (5 + 10k)$

b)

$\sum_{k=1}^{7} (5 + k)$

c)

$\sum_{k=1}^{7} (10k)$

d)

$\sum_{k=0}^{6} (10 - 5k)$

4.

If a₁=6 and a_n=-5a_n-1+4 then find the value of a₅

a)

3334

b)

-666

c)

-3334

d)

334

5.

If $a_1 = 4$ and $a_n = -4a_{n-1}$ then find the value of $a_6$ .

a)

-4096

b)

4096

c)

-1024

d)

16384

6.

Fill in the five-number summary for the data set 2, 2, 3, 4, 5, 6, 8, 8, 9, 9, 12, 13, 13, 14 and use it to create a box-and-whisker plot. Which set of values is correct for Min, Q1, Med, Q3, Max?

a)

2, 4, 8, 12, 14

b)

2, 3, 7.5, 12, 14

c)

2, 5, 8, 13, 14

d)

2, 4, 8.5, 12, 14

7.

Simplify $\dfrac{7(4n-1)!}{6(4n)!}$ without any factorials.

a)

$\dfrac{7}{24n}$

b)

$\dfrac{7}{6n}$

c)

$\dfrac{7}{4n}$

d)

$\dfrac{7}{(4n-1)}$

8.

Evaluate the summation $\sum_{k=2}^{6} (7k - 5)$ .

a)

115

b)

105

c)

120

d)

110

9.

Write a recursive sequence that represents the sequence defined by the explicit formula $a_n = -1 + 10n$ .

a)

$a_1 = 9$ , $a_n = a_{n-1} + 10$

b)

$a_1 = -1$ , $a_n = a_{n-1} + 10$

c)

$a_1 = 10$ , $a_n = a_{n-1} - 1$

d)

$a_1 = 9$ , $a_n = 10a_{n-1}$

10.

Find the 82nd term of the arithmetic sequence −8, 9, 26, …

a)

1369

b)

1377

c)

1352

d)

1386

11.

Determine if the sequence 2, 6, 10, … is arithmetic or geometric and determine the appropriate constant in simplest form. Choose the statement that correctly completes: “This is ____ sequence and the ____ is equal to ____.”

a)

an arithmetic; common difference; 4

b)

a geometric; common ratio; 4

c)

an arithmetic; common ratio; 4

d)

a geometric; common difference; 4

IM3 S2 Unit Test #1---Mrs. Chong

Total questions: 11

Worksheet time: 6mins

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