Fill in the blank space for the given series | vedclass

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

Question

(D) The given series is $5, 17, 37, 65, (\ldots), 145$.We can observe the pattern as follows:$5 = 2^{2} + 1$$17 = 4^{2} + 1$$37 = 6^{2} + 1$$65 = 8^{2

Vedclass · Accepted Answer

$101$

Vedclass · Answer

(D) The given series is $5, 17, 37, 65, (\ldots), 145$.We can observe the pattern as follows:$5 = 2^{2} + 1$$17 = 4^{2} + 1$$37 = 6^{2} + 1$$65 = 8^{2} + 1$The pattern follows the form $n^{2} + 1$ where $n$ is an even number starting from $2$.Following this pattern,the next term should be $10^{2} + 1$.$10^{2} + 1 = 100 + 1 = 101$.The term after that is $12^{2} + 1 = 144 + 1 = 145$,which matches the last term of the series.Therefore,the missing number is $101$.

Fill in the blank space for the given series with the correct alternative.
$5, 17, 37, 65, (\ldots), 145$

Similar Questions

Study the following arrangement carefully and answer the question given below:
$B, 2, I, J, K, 4, 3, H, 5, E, R, P, 6, N, A, 9, W, 8, T, U, 1, V, D, 7, F$
What should come in place of the question mark $(?)$ in the following series based on the given arrangement?
$2J, 4H, EP, ?$

Choose the correct alternative to fill in the blanks in the series: $abb . . . . baa . . . . a . . . bab . . . . aba$

Find out the missing term for the given series from the given alternatives:
$HS, JQ, LO, NM, (?)$

Choose the term which will continue the following series :
$P 3 C , R 5 F , T 8 I , V 12 L , ?$

Find the missing term for the given series from the given alternatives:
$EJOT, DHLP, CFIL, ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Fill in the blank space for the given series with the correct alternative.$5, 17, 37, 65, (\ldots), 145$