Fill in the blank space for the given series | vedclass

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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.
$5, 6, 9, 15, (\ldots), 40$

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Find out the wrong term from the given series:
$25, 36, 49, 81, 121, 169, 225$

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$3, 9, 27, 81, (\ldots)$

Choose the correct alternative answer

$bca.....b....aabc....a...caa$

Study the following arrangement carefully and answer the question given below:
$R, 4, E, J, 5, T, 1, A, M, Q, 3, 8, N, I, K, 7, W, F, 6, D, 9, U, 2, Y, V$
Which of the following is the fourth to the right of the tenth from the right end of the above arrangement?

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

Similar Questions

Find out the wrong term from the given series:$25, 36, 49, 81, 121, 169, 225$

Fill in the blank space for the given series with the correct alternative.$3, 9, 27, 81, (\ldots)$

Choose the correct alternative answer $bca.....b....aabc....a...caa$

Study the following arrangement carefully and answer the question given below:$R, 4, E, J, 5, T, 1, A, M, Q, 3, 8, N, I, K, 7, W, F, 6, D, 9, U, 2, Y, V$Which of the following is the fourth to the right of the tenth from the right end of the above arrangement?

Find the missing letters for the given series from the given alternatives.$.....bcdbc....dcabd....bcdbc....dc....bd$