Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Ex 4.1

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 4 Information Processing Ex 4.1

Question 1.
Choose the correct answer:

Question (i)
What is the eleventh Fibonacci number?
(a) 55
(b) 77
(c) 89
(d) 144
Answer:
(c) 89
Hint:

∴ 11th Fibonacci number is 89

Question (ii)
If F(n) is a Fibonacci number and n = 8, which of the following is true?
(a) F(8) = F(9) + F(10)
(b) F(8) = F(7) + F(6)
(c) F(8) = F(10) x F(9)
(d) F(8) = F(7) – F(6)
Answer:
(b) F(8) = F(7) + F(6)
Hint:
Given F(n) is a Fibonacci number & n = 8
F(8) = F(7) + F (6) as any term in Fibonacci series is the sum of preceding 2 terms

Question (iii)
Every 3^rd number of the Fibonacci sequence is a multiple of ………..
(a) 2
(b) 3
(c) 5
(d) 8
Answer:
(a) 2
Hint:
Every 3rd number in Fibonacci sequence is a multiple,of 2

Question (iv)
Every ……….. number of the Fibonacci sequence is a multiple of 8
(a) 2^nd
(b) 4^th
(c) 6^th
(d) 8^th
Answer:
(c) 6^th

Question (v)
The difference between the 18th and 17th Fibonacci number is
(a) 233
(b) 377
(c) 610
(d) 987
Answer:
(d) 987
Hint:
F(18) = F(17) + F (16)
F(18) – F(17) = F(16) = F(15) + F(14) = 610-377 = 987

Question 2.
In the given graph sheet draw and colour how the Fibonacci number pattern makes a spiral in the Golden Rectangle.

Steps:
As per the instruction given, draw squares of side equal to each term of Fibonacci number – starting with 1 x 1 square, 2 x 2 square, 3 x 3 square and so on.
For spiral:
Starting from 1st square, join opposite diagonal points in a curve in all the squares to form a spiral.