Fibonacci Series

Q. In the series $0,1,1,2,3,5,8,13,$ , the next term is

1. 21
2. 34
3. 25

Q. If a b c d..... x y z stand for distinct numbers, find the value of (x-a)(x-b)(x-c)..... (x-y )(x-z).

Q.

Find the missing number $28,33,31,36,?,39$

Q.

One-half of a dozen=?

Q.

Question 43.

Answer True/False.

If m is a whole number, then 2m denotes a multiple of 2.

Q.

Write the following sets in rule method.

K = {5, 10, 15, 20, 25 ………….}

Q.

4, 5, 9, 13, 24, 39, .... is an example for Fibonacci sequence. This is :

a)True

b) False

1. a)

2. b)

Q.

In the following series, find the next term.
0, 1, 1, 2, 3, 5, 8, 13, __

1. 21

2. 34

3. 25

4. 30

Q.

What is the missing value in the following Fibonacci sequence ?

10, 20, 30, 50, 80, ___ , 210, 340, ..

a) 110

b) 120

c) 130

d)140

1. b)

2. d)

3. a)

4. c)

Q. Let $x_1=1,x_3=4$ and $x_{n+3}=2x_{n+2}+2x_{n+2}-x_n$ for all $n\ge 1.$ Prove that $x_n$ is a square for all $n\ge 1.$

Q. Mark (✓) against the correct answer
What least number must be subtracted from each term of the ratio 15 : 19 to make the ratio 3 : 4?

(a) 3
(b) 5
(c) 6
(d) 9

Q.

Abraham wanted to do plantation in the backyard of his house. To do it in a more interesting way, he decided to follow a fixed pattern. He divided the whole field in 7 rows. Starting from the last row, he planted 21 plants in the last row and 13 plants in the second last and 8 plants in third row from last. How many plants will he plant in the fourth row from the last?

1. 6

2. 5

3. 2

4. 3

Q.

Which of the following are Fibonacci sequences ?

a) 7, 8, 15, 23, 38, ....

b) 9, 10, 19, 29, ...

c) 6, 7, 13, 20, 33, ....

d) 5, 6, 13, 21, 54, ....

1. a)

2. b)

3. c)

4. d)

Q.

If we continue the pattern 4, 8, 12, 16, …, will we ever get 100?

Q. The Fibonacci sequence is defined by

Q. The fibonacci sequence is defined by $1=a_1=a_2$ and $a_n=a_{n-1}+a_{n-2}n>2$ find $\frac{a_{n+1}}{a_n}$ for $n=1,2,3,4,5$

Q. The sequence $1,1,2,3,5,8,13,21,34,........$ is said to be in ............

1. Finite Sequence
2. Arithmetic Progression
3. Fibonacci Sequence
4. None of the above

Q. For the sequence whose nth term is n2, check if its in an ap?