Find out the odd number from the given sequen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let us analyze the given sequence: $0, 9, 64, 169, 576, 1225$.These numbers can be expressed as squares of the form $(n^2 - 1)^2$ for $n = 1, 2, 3

Vedclass · Accepted Answer

$225$

Vedclass · Answer

(A) Let us analyze the given sequence: $0, 9, 64, 169, 576, 1225$.These numbers can be expressed as squares of the form $(n^2 - 1)^2$ for $n = 1, 2, 3, 4, 5, 6$:For $n=1: (1^2 - 1)^2 = 0^2 = 0$For $n=2: (2^2 - 1)^2 = 3^2 = 9$For $n=3: (3^2 - 1)^2 = 8^2 = 64$For $n=4: (4^2 - 1)^2 = 15^2 = 225$For $n=5: (5^2 - 1)^2 = 24^2 = 576$For $n=6: (6^2 - 1)^2 = 35^2 = 1225$The sequence should be $0, 9, 64, 225, 576, 1225$. The number $169$ is incorrect as it does not fit the pattern $(n^2 - 1)^2$. Replacing $169$ with $225$ makes the series consistent. Thus,$169$ is the odd one out,and $225$ is the correct term that should have been there. Therefore,option $(A)$ is the correct answer.

$8$	$8$	$12$	$24$
$36$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

Find out the odd number from the given sequence: $0, 9, 64, 169, 576, 1225$.

Similar Questions

$2, 15, 4, 12, 6, 7, ?, ?$

Find the odd number in the given sequence: $12, 20, 30, 42, 54, 72$.

Observe the pattern in the table below and determine which number will come in place of $(E)$:
$8$ $8$ $12$ $24$
$36$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

Find the missing number in the series: $9, 8, 10, 16, 11, ?, 12, 64$.

$4, 12, 36, 108, ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module