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igomit [66]
2 years ago
14

What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?

Mathematics
1 answer:
bagirrra123 [75]2 years ago
3 0

Answer: -2

Step-by-step explanation:

The information in the question can be used to form an equation which goes thus:

2nd term = a + d = 4 ...... i

5th term = a + 4d = 22 ....... ii

From equation i

a = 4 - d ........ iii

Put equation iii into ii

a + 4d = 22

(4 - d) + 4d = 22

4 - d + 4d = 22

4 + 3d = 22

3d = 22 - 4

3d = 18

d = 18/3

d = 6

Commons difference is 6

Since a + d = 4

a + 6 = 4

a = 4 - 6

a = -2

The first term is -2

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antiseptic1488 [7]

Answer:

  A:  -2

Step-by-step explanation:

You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.

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1 year ago
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The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c
Slav-nsk [51]

\text{Answer} : \text{The expected value of a t-shirt is \$31.}

Explanation:

Since we have given that

The prices of three t-shirts styles  i.e $24, $30, $36 with their probability is given by

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As we know that,

E(X)= \sum_{1}^{3}x_iP(x_i)

\text{where} x_i \text{ is the prices of t- shirts styles}

Now,

x_1= \$24 , x_2=\$30 , x_3=$36

and

P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}

So,

E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31

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2 years ago
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2 years ago
Mr. Johnson currently has a square garden. It is in his garden and into a range of 5 feet shorter than three times shorter than
Vlad [161]

Answer:

The Dimension of new garden is 25 \ feet\ \times 10\ feet.

Step-by-step explanation:

Given:

Perimeter of new garden = 70 feet.

Let the length of the new garden be 'l'.

Also Let the width of the new garden be 'w'.

We need to find the dimension of new garden.

Now Given:

Length is 5 feet shorter than three times it width.

framing the equation we get;

l =3w-5 \ \ \ \ equation\ 1

Now we know that;

Perimeter of rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=70

Now Diving both side by 2 using Division property of equality we get;

\frac{2(l+w)}2=\frac{70}{2}\\\\l+w =35

Now Substituting equation 1 in above equation we get;

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Adding both side by 5 Using Addition Property of equality we get'

4w-5+5=35+5\\\\4w=40

Now Diving both side by 4 using Division property of equality we get;

\frac{4w}{4}=\frac{40}{4}\\\\w=10\ ft

Now Substituting the value of 'w' in equation 1 we get;

l =3w-5\\\\l =3\times10-5\\\\l = 30-5\\\\l= 25\ ft

Hence The Dimension of new garden is 25 \ feet\ \times 10\ feet.

3 0
2 years ago
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