Advertisements
Advertisements
Question
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) | ? | ? |
Solution
| Steps | Pattern 1 | Pattern 2 |
| i) | 1 + 3 = 4 | 5 − 1 = 4 |
| ii) | 1 + 3 + 8 = 12 | 13 − 1 = 12 |
| iii) | 1 + 3 + 8 + 21 = 33 | 34 − 1 = 33 |
| iv) | 1 + 3 + 8 + 21 + 55 = 88 | 89 − 1 = 88 |
APPEARS IN
RELATED QUESTIONS
Study and complete the following pattern
1 × 1 = 1
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = ?
11111 × 11111 = ?
Find next three numbers in the following number pattern.
77, 69, 61, 53, ...
Find next three numbers in the following number pattern.
10, 20, 40, 80, ...
What will be the 25th letter in the pattern? ABCAABBCCAAABBBCCC, ...
The difference between 6th term and 5th term in the Fibonacci sequence is
The 11th term in the Lucas sequence 1, 3, 4, 7, ... is
Complete the following pattern
1 + 2 + 3 + 4 = 10
2 + 3 + 4 + 5 = 14
`square` + 4 + 5 + 6 = `square`
4 + 5 + 6 + `square` = `square`
Complete the following pattern
1 + 3 + 5 + 7 = 16
`square` + 5 + 7 + 9 = 24
5 + 7 + 9 + `square` = `square`
7 + 9 + `square` + 13 = `square`
Complete the table by using the following instructions.
A: It is the 6th term in the Fibonacci sequence.
B: The predecessor of 2.
C: LCM of 2 and 3.
D: HCF of 6 and 20
E: The reciprocal of 1/5.
F: The opposite number of –7.
G: The first composite number.
H: Area of a square of side 3 cm.
I: The number of lines of symmetry of an equilateral triangle.
After completing the table, what do you observe? Discuss.
| A | B | C |
| D | E | F |
| G | H | I |
Observe the pattern and find the word by hiding the numbers 1H2O3W 4A5R6E 7Y8O9U?
