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1. c) 0, 1
2. c) 13 (5 + 8 = 13)
3. c) Each number is the sum of the two preceding numbers
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1. What are the first two numbers in the standard Fibonacci sequence?
a) 0, 0
b) 1, 1
c) 0, 1
d) 1, 2
2. What is the next number in the Fibonacci sequence: 1, 1, 2, 3, 5, 8, __?
a) 10
b) 11
c) 13
d) 15
3. Which of the following statements is TRUE about the Fibonacci sequence?
a) Each number is the product of the two preceding numbers.
b) Each number is the difference of the two preceding numbers.
c) Each number is the sum of the two preceding numbers.
d) Each number is the square of the previous number.
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The value is 120
In mathematics, a factorial is a function that multiplies a number by every number below it until you reach 1. It's denoted by the exclamation mark (!).
Formal Definition:
For any positive integer n, the factorial of n, denoted by n!, is the product of all positive integers less than or equal to n.
Formula:
n! = n × (n - 1) × (n - 2) × (n - 3) × ... × 3 × 2 × 1
Examples:
• 1! = 1
• 2! = 2 × 1 = 2
• 3! = 3 × 2 × 1 = 6
• 4! = 4 × 3 × 2 × 1 = 24
Why is Factorial Important?
Factorials are used extensively in:
• Combinatorics: Counting the number of ways to arrange or select items.
• Probability: Calculating the likelihood of events.
• Calculus: Series expansions and other advanced mathematical concepts.
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1. After losing his job and then crashing his car, John felt like he was really _.
a) on top of the world
b) down in the dumps
c) full of beans
d) walking on air
2. Even though the project was difficult, we managed to _ and finish on time.
a) get our ducks in a row
b) keep our heads above water
c) pull out all the stops
d) go the extra mile
3. I tried to explain the situation to her, but it was like _.
a) beating a dead horse
b) pulling teeth
c) comparing apples and oranges
d) hitting a brick wall
4. What does it mean to "bite off more than you can chew"?
a) To eat a large meal quickly.
b) To take on a task that is too difficult.
c) To be greedy.
d) To be easily satisfied.
5. The manager decided to _ and give everyone a bonus this year.
a) go out on a limb
b) play it safe
c) let sleeping dogs lie
d) get a head start
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1. Ephemeral: ለአጭር ጊዜ የሚቆይ፣ ጊዜያዊ። Like a fleeting moment.
2. Ubiquitous: በሁሉም ቦታ የሚገኝ፣ በስፋት የሚታይ። Like technology these days!
3. Esoteric: ጥቂት ሰዎች ብቻ የሚረዱት፣ ሚስጥራዊ። Think of specialized knowledge.
4. Ineffable: በቃላት ለመግለጽ አስቸጋሪ የሆነ፣ የማይገለጽ። Like a profound spiritual experience.
5. Mellifluous: ጣፋጭ በሆነ መልኩ የሚፈስ፣ ማራኪ ድምጽ ያለው። Like a beautiful melody.
6. Pernicious: በጣም ጎጂ ወይም አጥፊ፣ በተለይም ቀስ በቀስ ወይም በስውር የሚሰራ። Think of a subtle but dangerous influence.
7. Quixotic: በጣም ተግባራዊ ያልሆነ፣ የዋህ። Like chasing impossible dreams.
8. Sagacious: ጥበበኛ፣ አስተዋይ፣ ጥሩ ውሳኔዎችን ማድረግ የሚችል:: Like a wise old mentor.
9. Sycophant: ለጥቅም ሲል ሰዎችን ከመጠን በላይ የሚያሞግስ፣ አሽቃባጭ። A "yes-man."
10. Tenuous: ደካማ፣ የማይታመን። Like a fragile connection.
11. Anachronistic: ጊዜ ያለፈበት፣ በጊዜ ቅደም ተከተል የማይስማማ። Like a horse-drawn carriage in a modern city.
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Ephemeral
2. Ubiquitous
3. Esoteric
4. Ineffable
5. Mellifluous
6. Pernicious
7. Quixotic
8. Sagacious
9. Sycophant
10. Tenuous
11. Anachronistic
ትርጉማቸውን መልሱት
