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marishachu [46]
1 year ago
5

Each sequence has eight terms. Evaluate each related series. 1,-1,-3, . . . . . . -13

Mathematics
1 answer:
o-na [289]1 year ago
8 0

The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48

The given sequence is:

1,-1,-3,  . . -13

and there are 8 terms.

The related series of this sequence is:

1-1-3-5- ... -13

Notice that the series is an arithmetic series with:

first term, a(1) = 1

common difference, d = -1 - (1) = -2

last term, a(8) = -13

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:

S(8) = 8/2 [1 + (-13)]

S(9) = 4 . (-12) = -48

Learn more about sum of a series here:

brainly.com/question/14203928

#SPJ4

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Eighth grade
Ymorist [56]

Answer:

b = 1

Step-by-step explanation:

Given the equation is:

- 5b + 2b - (-b) + 7 = 5

We separate the terms of b and the constants. To do that we subtract 7 from both the sides. We get:

- 5b + 2b - (-b) + 7 - 7 = 5 - 7

⇒ - 5b + 2b - (-b) = - 2

Now, simplifying the terms with 'b'.

⇒ -5b + 2b + b = - 2

⇒ (-5 + 2 + 1)b = - 2

⇒ -2b  = -2

Dividing both the sides by -2, we get:

b = 1 which is the required answer.

7 0
2 years ago
Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x
ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

6 0
3 years ago
Y=-(5)^2=-100 how do I do that
Leona [35]
All you have to use is pemdas and keep y by itself
7 0
3 years ago
I need helppp on my test and i can't get it wrongggg
Artyom0805 [142]

Answer:

Perimeter = 16x + 16

Area = 40x + 15

Step-by-step explanation:

Perimeter = the sum of all the side lengths

Perimeter = 2(8x+3) + 2(5) = 16x + 6 + 10 = 16x + 16

Area = product of base times height

Area = (8x+3)*5 = 40x + 15

6 0
2 years ago
1<br> For what value of x is the equation -3x + 7 = -17 true?
Kipish [7]

Answer:

-3x+7=-17  x=8

Step-by-step explanation:

-3*8+7=-17

6 0
3 years ago
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