Question 1

a = 21; d = -5
A) 21, 16, 11, 6, 1
B) 0, 21, 16, 11, 6
C) -21, -16, -11, -6, -1
D) 25, 19, 13, 7, 1

Accepted Answer

Starting with a=21 and d=-5, the sequence generated by the formula an = a + (n-1)*d becomes 21, 16, 11, 6, 1.

Question 2

a = 4; d = 5
A) 4, 9, 14, 19, 24
B) 9, 14, 19, 24, 29
C) 0, 4, 9, 14, 19
D) 4, 8, 12, 16, 20

Accepted Answer

The sequence starts with a = 4 and increments by d = 5 each time, which matches option A: 4, 9, 14, 19, 24.

Question 3

a = 12,24,36,48; 
A) 24
B) 12
C) 2
D) 36

Accepted Answer

The answer of a = 12,24,36,48; 
A) 24
B) 12
C) 2
D)...

Question 4

a = -16; d = 2
A) -16, -14, -12, -10, -8
B) -12, -10, -8, -6, -4
C) -8, -10, -12, -14, -16
D) -12, -14, -16, -18, -20

Accepted Answer

The formula for an arithmetic sequence is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, d is the common difference, and n is the number of terms. 
Plugging in the values given, we get: 
a_1 = -16
d = 2

To find the first five terms, we simply add 2 to the previous term: 
a_2 = -16 + 2 = -14 
a_3 = -14 + 2 = -12
a_4 = -12 + 2 = -10
a_5 = -10 + 2 = -8

Therefore, the answer is A) -16, -14, -12, -10, -8.

Question 5

(  -9)and (k + 3)(k - 3)
A) equal
B) not equal

Accepted Answer

The answer of (  -9)and (k + 3)(k -...

Question 6

(  )= 7( 
); 
A) 63
B) 189
C) 21
D) 567

Accepted Answer

Since the two numbers being multiplied are the same (i.e. TB6578_11_TB6578_11), we can cancel them out from both sides of the equation. This leaves us with:

11ea83f6_62c0_d7a3_b5a5_096e88c1e525 = 7( 11ea83f6_62c0_d7a4_b5a5_af5f036174ab )

Now we can sum up the digits on both sides of the equation to get:

61 = 7( 61 )

Dividing both sides by 7, we get:

61/7 = 8 remainder 5

So the answer is 5, and the closest option is A) 63.

Question 7

Evaluate:

Accepted Answer

The answer of Evaluate: ...

Question 8

A) 30
B) 18
C) 14
D) 20

Accepted Answer

The answer of 
A) 30
B) 18
C) 14
D) 20...

Question 9

Evaluate:

Accepted Answer

The answer of Evaluate: ...

Question 10

a = 12; d = -3
A) 12, 9, 6, 3, 0
B) 15, 12, 9, 6, 3
C) 9, 6, 3, 0, -3
D) 12, 9, 5, 3, 0

Accepted Answer

The sequence is an arithmetic sequence starting at 12 and decreasing by 3 each time (d = -3), so the correct sequence is 12, 9, 6, 3, 0.

Question 11

a = 4; r = 5
A) 4, 20, 100, 500, 2500
B) 20, 100, 500, 2500, 12,500
C) 4, 9, 14, 19, 24
D) 5, 20, 80, 320, 1280

Accepted Answer

The sequence is a geometric progression where each term is the product of the previous term and the common ratio (r = 5). Starting with a = 4, the sequence is 4, 20 (4*5), 100 (20*5), 500 (100*5), 2500 (500*5).

Question 12

A) 162
B) 54
C) 81
D) 108

Accepted Answer

The answer of 
A) 162
B) 54
C) 81
D) 108...

Question 13

Evaluate:

Accepted Answer

The answer of Evaluate: ...

Question 14

1,5,9,13,17
A) 
B) 
C) 
D)

Accepted Answer

The sequence is increasing by a difference of 4 each time. The correct answer should contain the next number in the sequence, which is 21. Option A is the only choice that has 21 as the last digit of the UUID.

Question 15

a = -8; r = -4
A) -8, 32, -128, 512, -2048
B) -8, -32, -128, 512, -2048
C) -4, 32, -128, 512, -2048
D) -8, -12, -16, -20, -24

Accepted Answer

The formula for the n-th term of a geometric sequence is given by an = a*r^(n-1). Substituting a=-8 and r=-4, we get the sequence as -8, 32, -128, 512, -2048, which matches Option A. Option B is incorrect because it has the wrong signs for the terms after the first one. Option C has the wrong initial term of -4 instead of -8. Option D is also incorrect because it has a linear sequence with a common difference of -4, whereas we have a geometric sequence with a common ratio of -4.

Question 16

a = 6; r = -5
A) 6, -30, 150, -750, 3750
B) 6, 30, 150, -750, 3750
C) -5, -30, 150, -750, 3750
D) 6, 1, -4, -9, -14

Accepted Answer

The sequence is a geometric progression where each term is obtained by multiplying the previous term by the common ratio r = -5. Starting with a = 6, the sequence is 6, 6*(-5) = -30, -30*(-5) = 150, 150*(-5) = -750, -750*(-5) = 3750.

Question 17

a = 6; r = 
A) 6, 2,  ,  , 
B) 6, 18, 54, 162, 486
C) 2,  ,  ,  , 
D) 6,  ,  , 7,

Accepted Answer

The answer of a = 6; r = 
A) 6,...

Question 18

A) -35
B) -5
C) -14
D) -30

Accepted Answer

The answer of 
A) -35
B) -5
C) -14
D) -30...

Question 19

= 4, 
= 12, 
= 
+ 8; 
A) 28
B) 20
C) 36
D) 12

Accepted Answer

The answer of  = 4, 
= 12, 
= 
+...

Question 20

A) 8
B) 9
C) 5
D) 7

Accepted Answer

The answer of 
A) 8
B) 9
C) 5
D) 7...

Quiz 2: Applications and More Algebra

a = 21; d = -5

a = 4; d = 5

a = 12,24,36,48;

a = -16; d = 2

( -9) and (k + 3) (k - 3)

( ) = 7( ) ;

Evaluate:

Evaluate:

a = 12; d = -3

a = 4; r = 5

Evaluate:

1,5,9,13,17

a = -8; r = -4

a = 6; r = -5

a = 6; r =

= 4, = 12, = + 8;