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Quarter 4 Math 3 Week 7

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

TRUE or FALSE: 12, 14, 18\frac{1}{2},\ \frac{1}{4},\ \frac{1}{8}  is a harmonic sequence.

a)

TRUE

b)

FALSE

2.

TRUE or FALSE: 100+50+25+...100+50+25+...  is a divergent series.

a)

TRUE

b)

FALSE

3.

TRUE or FALSE: When the digits of the entries in the Row 4 of the Pascal's Triangle are combined, the number formed is 14641.

a)

TRUE

b)

FALSE

4.

What is the harmonic mean of 32\frac{3}{2}  and 38\frac{3}{8} ?

a)

34\frac{3}{4}  

b)

35\frac{3}{5}  

c)

36\frac{3}{6}  

d)

37\frac{3}{7}  

5.

What is the sum of the first 6 terms of the Fibonacci-style sequence 2, 4, 6, 10, 16, ...?

a)

64

b)

46

c)

97

d)

79

6.

How many terms of the arithmetic sequence -5, -1, 3, 7, 11,... should be added to give a sum of 660?

a)

15

b)

20

c)

25

d)

30

7.

Evaluate: n=130(3k1)\sum_{n=1}^{30}\left(3k-1\right)  

a)

1215

b)

1275

c)

1365

d)

1395

8.

Evaluate:  64+8+1+18+...64+8+1+\frac{1}{8}+... 

a)

74

b)

85

c)

 5127\frac{512}{7}  

d)

 6487\frac{648}{7} 

9.

What is the 5th entry of the 10th row in the Pascal's Triangle?

a)

45

b)

120

c)

210

d)

252

10.

What is the term of (x+1x2)7\left(x+\frac{1}{x^2}\right)^7  which have x4x^4 ?

a)

7x47x^4  

b)

21x421x^4  

c)

35x435x^4  

d)

None of the terms will have x4x^4