Page 18 - Maths Skill - 6

16 Maths

3. Which is the next ordered pair in the pattern obtained by adding the two terms before it, starting
(2, 6), (3, 9), (4, 12), (?, ?), (6, 18), (7, 21) with the number 0 and 1. The Fibonacci pattern is
given as
(i) (7, 28) (ii) (9, 18) 0, 1, 1, 2, 3, 5, 8, 13 ... and so on.
(iii) (5, 18) (iv) (5, 15) Based upon the above phenominon, Answer the
4. What number is missing in the pattern: following questions:
1, 2, 4, 8, ______, 32, 64
1. Which is the Fibonacci sequence?
(i) 22 (ii) 20 (iii) 16 (iv) 18 (a) 1, 2, 4, 8, 16, ... (b) 0, 1, 1, 2, 3, 5, ...
5. Complete the pattern : 12, 24, 36, ______, 60, 72 (c) 2, 4, 6, 8, 10, ... (d) 3, 6, 9, 12, 15, ...

(i) 44 (ii) 48 (iii) 50 (iv) 54 2. In the Fibonacci sequence, each number is the
sum of the two preceding ones. What is the next
B. Fill in the Blanks number after 5?
1. What is the missing number in the pattern 4, 8, (a) 8 (b) 9 (c) 10 (d) 7
12, 16, _________ 24, 28. 3. How many Fibonacci numbers are prime number
2. Next pattern of the series is 2, 6, 12, 20 ______. within the first 20 numbers in the sequence?
3. Next pattern of the series is 4, 9, 16, 25, _____ (a) 2 (b) 3 (c) 4 (d) 5
49, 64. 4. What is the 12th number in the fibonacci

4. Next pattern of the series is 2, 5, 10, 17, ______ sequence?
37, 50. (a) 89 (b) 144 (c) 233 (d) 377
5. Next pattern of the series is 1, 8, 27, 64, ______ E. Assertion-Reason Based Questions
216, 343. Directions for Questions 1 to 2: In each of the

C. Write ‘T’ for true and ‘F’ for false statements questions given below, there are two statements
marked as Assertion (A) and Reason (R). Mark your
1. In a pattern where each number increases by 5, answer as per the codes provided below:
the sequence 2, 7, 12, 17, 22 is. (a) Both A and R are true and R is the correct

2. A pattern where each one is divided by two to explanation of A.
obtain the previous term appears by the numbers (b) Both A and R are true but R is not the correct
3, 6, 12 and 24. explanation of A.
3. The pattern 1, 4, 9, 16, 25 consists of the squares (c) A is true but R is false.
of the first five positive integers. (d) A is false but R is true.

4. In the pattern where each term is multiplied by Q. 1. Assertion (A): 2, 4, 6, 8 ... are all even natural
numbers.
2, the sequence 1, 2, 4, 8, 16 is correct.
5. The sequence 2, 5, 10, 17, 26, ....... formed by Reason (R): All even numbers are divisible

by 2.
adding consecutive prime numbers to each term.
Q. 2. Assertion (A): The sum of first 10 terms of
odd number series is 100.

Reason (R): The sum of first n odd natural
2
D. Case Study Based Questions number is n .
The Fibonacci pattern is defined as the sequence
of numbers in which each term in the sequence is