Quiz about Quarter 4 Math 3 Week 7

Question 1

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

Accepted Answer

FALSE

Answer

TRUE

Question 2

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

Accepted Answer

FALSE

Answer

TRUE

Question 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.

Accepted Answer

TRUE

Answer

FALSE

Question 4

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

Accepted Answer

$$\frac{3}{5}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{3}{6}$$

Answer

$$\frac{3}{7}$$

Question 5

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

Accepted Answer

64

Answer

46

Answer

97

Answer

79

Question 6

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

Accepted Answer

20

Answer

15

Answer

25

Answer

30

Question 7

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

Accepted Answer

1365

Answer

1215

Answer

1275

Answer

1395

Question 8

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

Accepted Answer

252

Answer

45

Answer

120

Answer

210

Question 9

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

Accepted Answer

$$7x^4$$

Answer

$$21x^4$$

Answer

$$35x^4$$

Answer

None of the terms will have $$x^4$$

Quarter 4 Math 3 Week 7