Join 60,000+ competitive exam aspirants
or with email
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Join 60,000+ competitive exam aspirants
What should come in place of ‘?’ in the given series? 8, 9, 13, 22, 38, 63, ?
98
99
100
101
99
Observe the differences between consecutive terms; they follow a sequence of perfect squares: 1 squared, 2 squared, 3 squared, 4 squared, 5 squared, and 6 squared.
Observe the differences between consecutive terms; they follow a sequence of perfect squares: 1 squared, 2 squared, 3 squared, 4 squared, 5 squared, and 6 squared.
Analyze consecutive differences
Calculate the difference between each term: 9-8=1, 13-9=4, 22-13=9, 38-22=16, 63-38=25.
Identify the pattern
The differences are 1, 4, 9, 16, 25, which represent 1², 2², 3², 4², 5² respectively.
Calculate the next term
Following the pattern, the next difference must be 6² = 36. Add 36 to the last term: 63 + 36 = 99.
A: 98 is incorrect because the difference 35 is not a perfect square. C: 100 is incorrect because the difference 37 is not a perfect square. D: 101 is incorrect because the difference 38 is not a perfect square.
B is correct because the series follows an increment pattern of consecutive perfect squares (1, 4, 9, 16, 25, 36), resulting in 63 plus 36 equaling 99.
When a series grows at an increasing rate, always check the difference between consecutive numbers first; if the first layer of differences is not obvious, check the difference of the differences.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download • 100K+ Aspirants