Answered

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SECTION I: MULTIPLE CHOICE QUESTIONS

1. Find the logarithm of 3.752
A. [tex]$0.152$[/tex]
B. [tex]$0.514$[/tex]
C. [tex]$0.5542$[/tex]
D. [tex]$0.574$[/tex]

2. What is the order of the matrix: [tex]$\left[\begin{array}{lll}1 & 2 & 4 \\ 2 & 3 & 5\end{array}\right]$[/tex]
A. [tex]$2 \times 2$[/tex]
B. [tex]$2 \times 1$[/tex]
C. [tex]$2 \times 3$[/tex]
D. [tex]$3 \times 2$[/tex]

3. The nth term of a sequence is [tex]$5n + 2$[/tex]. Find the fourth term.
A. [tex]$10$[/tex]
B. [tex]$22$[/tex]
C. [tex]$18$[/tex]
D. [tex]$12$[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's address these questions step-by-step.

1. Find the logarithm of 3.752

A. 0.152
B. 0.54
C. 0.5542
D. 0.574

To determine the correct logarithm value of 3.752, we typically use logarithmic tables or a calculator. The correct answer in this case is:

C. 0.5542

2. What is the order of the matrix: [tex]\(\left[\begin{array}{lll}1 & 2 & 4 \\ 2 & 3 & 5\end{array}\right]\)[/tex]

To find the order of a matrix, we count the number of rows and columns. This matrix has:

- 2 rows
- 3 columns

Hence, the order of the matrix is:

C. [tex]\(2 \times 3\)[/tex]

3. The [tex]\(n\)[/tex]-th term of a sequence is given by [tex]\(5n + 2\)[/tex]. Find the fourth term.

To find the fourth term, substitute [tex]\(n = 4\)[/tex] into the given formula for the [tex]\(n\)[/tex]-th term.

[tex]\[ a_n = 5n + 2 \][/tex]

For [tex]\(n = 4\)[/tex]:

[tex]\[ a_4 = 5(4) + 2 \][/tex]
[tex]\[ a_4 = 20 + 2 \][/tex]
[tex]\[ a_4 = 22 \][/tex]

Therefore, the fourth term is:

22
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