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stellarik [79]
3 years ago
10

9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42

Mathematics
2 answers:
Leno4ka [110]3 years ago
8 0

Answer:

C) 42

Step-by-step explanation:

Given is an Arithmetic Sequence, where

First term a = - 3

Common Difference d = 1-(-3)= 4

n = 6

S_6=?  \\  \\  \because \: S_n =  \frac{n}{2}  \{2a + (n - 1)d \} \\  \\  \therefore \: S_6 =  \frac{6}{2}  \{2 \times ( - 3) + (6 - 1)4 \} \\  \\ \therefore \: S_6 =  3  \{ - 6 + 20\} \\  \\ \therefore \: S_6 =  3  \times 14  \\  \\ \huge \red{ \boxed{ \therefore \: S_6 =  42}}

ZanzabumX [31]3 years ago
5 0

Answer:

C. 42.

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 4 and first term a = -3.

Sum of n terms = (n/2)[2a + (n - 1)d]

Sum of  six terms = (6/2)[2(-3) + (6 - 1)4]

= 3 * (-6 + 20)

= 42.

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 Sam solved the following problem:
kvasek [131]

Answer:

-4x > 24

x< 6

Step-by-step explanation:

-4x + 5 > 29

-4x + 5 - 5 > 29 - 5  (subtracted 5 on both sides)

To remove +5, Sam subtracted 5 on both sides. but 29-5 is 24

we always put the sign of greatest number . so its positive

-4x > 24 is correct

-4x/-4 > 24/-4

Dividing both sides by -4 is correct. But when we divide by negative number we need to flip the inequality sign . so > becomes <

x < 6

4 0
3 years ago
A sample of size =n72 is drawn from a population whose standard deviation is =σ25. Part 1 of 2 (a) Find the margin of error for
kherson [118]

Answer:

a) margin of error ME = 5.77

b) Margin of error becomes smaller

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-ME

Where margin of error ME = zr/√n

a)

Given that;

Mean = x

Standard deviation r = 25

Number of samples n = 72

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

ME = 1.96(25/√72)

ME = 1.96(2.946278254943)

ME = 5.774705379690

ME = 5.77

b)

For n = 89

ME = 1.96(25/√89)

ME = 1.96(2.649994700015)

ME = 5.193989612031

ME = 5.19

5.19 is smaller than 5.77 in a) above. So,

Margin of error becomes smaller

6 0
2 years ago
Solve x and y x/5+y/6=12
Arlecino [84]

Answer:

2435

Step-by-step explanation:

add your numbers

4 0
3 years ago
Which statement is true?
Ksju [112]

Answer:

The slope of function A is less than the slope of function B

Explanation:

The slope for function B is 1/2, which is greaterthan 1/5, the slope of function A.

3 0
2 years ago
Read 2 more answers
JWISOSOOS someone help me n show me how to do it 2. Thanks goodnight:&gt;&gt;
posledela

Answer:

2/3(3x+9)=-2(2x+6)

2/3(3x+2x)=-2(9+6)

2/3×5x=-2+15

10x/3=13

3x=13

x=13-3

x=10

4 0
2 years ago
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