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

(B) The pattern of the series is based on the addition of consecutive integers.The differences between consecutive terms are:$6 - 5 = 1$$9 - 6 = 3$$15

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) The pattern of the series is based on the addition of consecutive integers.The differences between consecutive terms are:$6 - 5 = 1$$9 - 6 = 3$$15 - 9 = 6$The differences are $1, 3, 6, \ldots$,which follow the pattern of triangular numbers or the sum of consecutive integers: $1, (1+2), (1+2+3), \ldots$Following this logic,the next difference should be $(1+2+3+4) = 10$.Therefore,the missing number is $15 + 10 = 25$.To verify,the next difference should be $(1+2+3+4+5) = 15$,and $25 + 15 = 40$,which matches the final term in the series.

Fill in the blank space for the given series with the correct alternative.
$5, 6, 9, 15, (\ldots), 40$

Similar Questions

Study carefully the following arrangement of letters, digits and symbols to answer these

questions.

$M, 7 ,\&, 8, L ,P ,@ ,Q ,N ,\beta ,T ,Y ,3 ,2 ,= ,E ,\$ ,4 ,9 ,\#, G ,H ,5$

How many such symbols are there in the arrangement each of which is immediately preceded by a number?

Fill in the blank space for the given series with the correct alternative.
$3, 6, 5, 20, 7, 42, 9, (...)$

Fill in the blank space for the given series with the correct alternative.
$4, 10, (\ldots), 82, 244, 730$

Fill in the blank space for the given series with the correct alternative.
$3, 7, 15, 31, 63, (\dots)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Fill in the blank space for the given series with the correct alternative.$5, 6, 9, 15, (\ldots), 40$

Similar Questions

Study carefully the following arrangement of letters, digits and symbols to answer these questions. $M, 7 ,\&, 8, L ,P ,@ ,Q ,N ,\beta ,T ,Y ,3 ,2 ,= ,E ,\$ ,4 ,9 ,\#, G ,H ,5$ How many such symbols are there in the arrangement each of which is immediately preceded by a number?

Fill in the blank space for the given series with the correct alternative.$3, 6, 5, 20, 7, 42, 9, (...)$

Fill in the blank space for the given series with the correct alternative.$4, 10, (\ldots), 82, 244, 730$

Fill in the blank space for the given series with the correct alternative.$3, 7, 15, 31, 63, (\dots)$