Download App

Playing with Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPlaying with Numbers3 Marks
Question
Fibonacci numbers Take 10 numbers as shown below:
a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34b). Sum of all these numbers = 11(5a + 8b) = 11 × 7th number.
Taking a = 8, b = 13.,
Write 10 Fibonacci numbers and verify that sum of all these numbers = 11 × 7th number
Hint. I, II, (I + II), (III + II), (IV + III), [V + IV), and so on
✓

Answer

a = 8 and b = 13
The numbers are 8, 13, 21, 34, 55, 89, 144, 233, 377 and 610.
Sum of the numbers = 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 + 610 = 1584
11 × 7th number = 11 × 144 = 1584

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Playing with Numbers→Playing with Numbers — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find the volume, lateral surface area and the total surface area of a cube whose edges measures:
8dm, 5cm.
→
Expand :

(7m – 3n – 4k)²

→
Find the volume of a cube whose total surface area is $384 cm^2$.
→
Evaluate $\sqrt[3]{216\times343}$
→
By what number should $\frac{-33}{8}$ be divided to get $\frac{-11}{2}$?
→
Find the product:
$75\text{x}^2\text{y}\big(\frac{3}{5}\text{xy}^2+\frac{2}{5}\text{x}\big)$
→
The price of petrol goes up by 10%. By how much percent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged?
→
Show that:
$\frac{\sqrt[3]{-512}}{\sqrt[3]{343}}=\sqrt[3]{\frac{-512}{343}}$
→
Simplify:
$x^2(x+2 y)(x-3 y)$
→
The difference between the ages of two cousins is 10 years. 15 years ago, if the elder one was twice as old as the younger one, find their present ages.
→