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kirza4 [7]
2 years ago
13

Find the 21st term of the sequence 15,8,1,-6

Mathematics
1 answer:
Alika [10]2 years ago
7 0

Answer:

-125

Step-by-step explanation:

Each term is 7 less than the previous term.

1st term: 15

2nd term: 15 - 7

3rd term: 15 - 7 - 7 = 15 - 2(7)

4th term = 15 - 7 - 7 - 7 = 15 - 3(7)

Notice that each term is 15 minus a multiple of 7. The multiple is obtained by multiplying 7 by 1 less than the term number.

The formula is:

a_n = 15 - 7(n - 1)

For the 21st term, multiply 7 by 20, and subtract from 15.

7 × 20 = 140

15 - 140 = -125

Using the formula:

a_{21} = 15 - 7(21 - 1) = 15 - 7(20) = 15 - 140 = -125

Answer: -125

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gizmo_the_mogwai [7]

Answer:

your supposed to flip the sign for the less than or greater than sighs when dividing by a negative.

Step-by-step explanation:

-4x←20

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3 0
3 years ago
What is the sum of the interior angles of the polygon shown below?
Yanka [14]

Answer:

540 degrees

Step-by-step explanation:

The formula to find the sum of interior angles in any polygon is the following:

S=180(n-2)

Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;

S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540

4 0
2 years ago
When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select and test 56 b
nydimaria [60]

Answer:

98.1% chance of being accepted

Step-by-step explanation:

Given:

sample size,n=56

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Applying binomial distribution

<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>

In this formula, a is the acceptable number of defectives;

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p is the fraction of defectives in the population.  

Now putting the value

a= 2

n=56

p=0.01

\frac{56!}{0!\left(56-0\right)!}\left(0.01\right)^0\:\left(1-0.01\right)^{\left(56-0\right)} + \frac{56!}{1!\left(56-1\right)!}\left(0.01\right)^1\:\left(1-0.01\right)^{\left(56-1\right)} +\:\frac{56!}{2!\left(56-2\right)!}\left(0.01\right)^2\:\left(1-0.01\right)^{\left(56-2\right)}

=0.56960+0.32219+0.08949

After summation, we get 0.981 i.e. a 98.1% chance of being accepted.  As this is such a high chance, we can expect many of the shipments like this to be accepted!

7 0
3 years ago
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Ilya [14]

Answer:

can you please be more specific? Maybe add more info.

Step-by-step explanation:

7 0
3 years ago
8.
Alenkinab [10]

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

6 0
3 years ago
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