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What shall be the missing value in the series: 2890, ?, 1162, 874, 730, 658

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What shall be the missing value in the series: 2890, ?, 1162, 874, 730, 658
posted Aug 15, 2018 by anonymous

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1 Answer

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730 - 658 = 72
874 - 730 = 144 ===> (7×2)(2×2) = (14)(4).
1162 - 874 = 288 ===> (14×2)(4×2) = (28)(8)
Continuing with this pattern the next difference should be (28×2)(8×2)
(56)(16) {2nd bracket should only have 1 digit, therefore the tens place of 16 is carried over to the 1st bracket} ====> 576
Therefore the required number is 1162 + 576 =1738.
To check if this holds good the next difference is
(57×2)(6×2) ===> (114)(12) ===> (1152)
Now 1738 + 1152 = 2890, which means that the answer must be right.

answer Aug 15, 2018 by Tejas Naik
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