Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let s 1 , s 2 , …. be squares such that for each n ≥ ≥ 1, the length of a side of s n equals the length of a diagonal of s n + 1 . If the length of a side of s 1 is 10 cm, then for which of the following values of n is the area of s n less than 1 sq. cm?
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c, d)
Let length of side of s n = x ⇒ length of diagonal of s n +1 = x ⇒ side of s n +1 = 
Areas are 100,
,
,…..
⇒ s n =
100 < 1
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
For 0 < θ θ < π π /2, if x =
then
If a, b and c are distinct positive real numbers and a 2 +b 2 +c 2 =1, then ab + bc +ca is
If the product of n positive numbers is unity , then their sum is
If a, b and c are positive real numbers, then the least value of (a + b + c) is
If a, b and c are positive real numbers then is greater than or equal to
If the first and the (2n-1)th terms of an A.P., G.P. and H.P. are equal and their nth terms are a, …