13, 20, 39, 78, 145, (?) | vedclass

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(D) The pattern of the series is based on the differences between consecutive terms:$20 - 13 = 7$$39 - 20 = 19$$78 - 39 = 39$$145 - 78 = 67$Now,look a

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$248$

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(D) The pattern of the series is based on the differences between consecutive terms:$20 - 13 = 7$$39 - 20 = 19$$78 - 39 = 39$$145 - 78 = 67$Now,look at the differences of these differences:$19 - 7 = 12$$39 - 19 = 20$$67 - 39 = 28$The differences of the differences increase by $8$ $(12+8=20, 20+8=28)$.Following this pattern,the next difference of the difference should be $28 + 8 = 36$.Therefore,the next difference between the terms will be $67 + 36 = 103$.Finally,the next term in the series is $145 + 103 = 248$.

$13, 20, 39, 78, 145, (?)$

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