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The next number of the given fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13 is _____

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Important Questions on Information Processing

EASY

Complete the following pattern:
1+2+3+4=102+3+4+5=14+4+5+6=4+5+6+=

MEDIUM
Define the Fibonacci numbers. Calculate the value of the 12th and the 13th Fibonacci numbers. The 9th and 10th terms in the sequence are 21 and 34.
EASY
Every _____ number of the Fibonacci sequence is a multiple of 8
EASY
If the 11th  term of the Fibonacci sequence is 89 and 13th  term is 233 then, what is the 12th  term?
HARD
Let an denote the number of all n digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let bn= the number of such n digit integers ending with digit 1 and cn= the number of such n digit integers ending with digit 0.

The value of b6 is
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The rule of Fibonacci Sequence is F(n)=F(n-2)+F(n-1). Find the 11th to 20th Fibonacci numbers.
EASY

The next term in the sequence 15,17, 20, 22, 25,..... is

EASY
The difference between 6th term and 5th term in the fibonacci sequence is
EASY
Given that one pair of new born rabbits they produce a new pair each month and from the second month, each new pair can breed themselves. Find how many pairs of rabbits are bred from one pair in a year, and find the relationship between the number of months and the number of pairs of rabbits by tabulation (a pair means (a male and a female)).
MEDIUM

In the given graph sheet draw and colour how the Fibonacci number pattern makes a spiral in the Golden Rectangle.

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EASY
Are two consecutive Fibonacci numbers relatively prime?
EASY
Find the 10th  term of the Fibonacci sequence.
EASY
If F(n) is a Fibonacci number and n=8, which of the following is true?
EASY

Complete the following pattern:
1+3+5+7=16+5+7+9=245+7+9+=7+9++13=

 

MEDIUM
The difference between the 18th and 17th Fibonacci number is
MEDIUM

Choose the missing number of the given fibonacci series that has to come before 34.

0, 1, 1, 2, 3, 5, 8, 13, 34

EASY

Write the quadrants in which the following points lie:

-4,7

EASY
Every 3rd number of the Fibonacci sequence is a multiple of
MEDIUM

Consider the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,  Observe and complete the following table by understanding the number pattern followed. After filling the table discuss the pattern followed in addition and subtraction of the numbers of the sequence.

Steps Pattern 1 Pattern 2
i) 1+3=4 5-1=4
ii) 1+3+8=          ?
iii) 1+3+8+21=                 ?
iv) ? ?