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disa [49]
3 years ago
9

In the Fibonacci Sequence, each term after the first two terms is the sum of the preceding two terms. If the first two terms are

1 and 1, then what is the tenth term?
Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

If the first two terms are 1 and 1, then what is the tenth term?

Answer:

The 10th term will be 55

Explanation:

In the Fibonacci Sequence, we add the previous digits to get the next digit. So, here 1st term is 1.

First term= 1

Second term = 0+1= 1

Third term= 1+1=2

Fourth term= 1+2= 3

Fifth term= 2+3= 5

Sixth term= 3+5= 8

Seventh term= 5+8 = 13

Eighth term= 8+13= 21

Ninth term= 13+21= 34

Tenth term= 21+34 = 55

So, the 10th term is 55.

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1/2 of Ila’s workspace is covered in paper. 1/3 of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace
Gennadij [26K]

Answer:

\frac{1}{6}          

Step-by-step explanation:

We have been given that 1/2 of Ila’s work-space is covered in paper. 1/3 of the paper is covered in yellow sticky notes.

Ila’s work-space is covered in yellow sticky notes would be 1/3 of 1/2.

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{3}\times \frac{1}{2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1\times1}{3\times 2}  

\text{Ila’s workspace is covered in yellow sticky notes}=\frac{1}{6}

Therefore, \frac{1}{6} of Ila’s workspace is covered in yellow sticky notes.

7 0
3 years ago
A square tile has an area of 148 in2.
aivan3 [116]
Yes you are correct B is the right answer
3 0
3 years ago
Solve the following system of equations. Enter the y-coordinate of the
nadya68 [22]

Answer:

<em>Good L</em>uck!

Step-by-step explanation:

8 0
3 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Solve the equation p^2 + 4p = 1 by completing the square.
igor_vitrenko [27]

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

7 0
3 years ago
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