Find the next term in the series: 0, 2, 3, 5, | vedclass

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

Question

(D) The given series is a combination of two alternating series:$(i)$ The first series consists of the terms at odd positions: $0, 3, 8, 15, 24, ?$The

Vedclass · Accepted Answer

$35$

Vedclass · Answer

(D) The given series is a combination of two alternating series:$(i)$ The first series consists of the terms at odd positions: $0, 3, 8, 15, 24, ?$The pattern is: $0 + 3 = 3$$3 + 5 = 8$$8 + 7 = 15$$15 + 9 = 24$Following this pattern of adding consecutive odd numbers $(3, 5, 7, 9, 11)$,the next term is $24 + 11 = 35$.$(ii)$ The second series consists of the terms at even positions: $2, 5, 10, 17, 26$This follows the pattern $(n^2 + 1)$ for $n = 1, 2, 3, 4, 5$ $(1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26)$.Since the question asks for the term following $26$,which is the $11^{th}$ term,it belongs to the first series. Thus,the answer is $35$.

$2$	$3$	$8$	$27$
$5$	$(a)$	$(b)$	$(c)$	$(d)$	$(e)$

Find the next term in the series: $0, 2, 3, 5, 8, 10, 15, 17, 24, 26, ?$

Similar Questions

$6, 18, 3, 21, 7, 56, ?$

Find the missing number in the series: $6, 13, 38, ?, 532, 2675$.

Find the missing term in the series: $39, 52, 78, 117, 169, ?$

$2$ $3$ $8$ $27$
$5$ $(a)$ $(b)$ $(c)$ $(d)$ $(e)$

Which of the following numbers will come in place of $(e)$?

$64, 54, 69, 49, 74, 44, ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module