Answers

2015-03-22T10:49:50+08:00

This Is a Certified Answer

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The next number is 146.

10,  12,  22,  34,  56,   90     __      ___

    2    10   12    22    34   __      __


2 + 10 = 12 (3rd term)

10 + 12 = 22 (4th term)

12 + 22 = 34 (5th term)

22 + 34 = 56 (6th term)

34 + 56  = 90 (7th term)


10,  12,  22, 34, 56,  90,    146,      236

    2,   10,  12,  22, 34    56,      90


Since we are asked only of the next term, then


Answer:

            146

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2015-03-22T21:56:39+08:00

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
The\ given\ number\ of\ series\ is: \\ \\ \{ 10,\ 12,\ 22,\ 34,\ 56,\ 90 \} \\ \\ The\ problem\ that\ needed\ to\ be\ solved\ is: \\ \\ \{ 10,\ 12,\ 22,\ 34,\ 56,\ 90 ,\ ?\} \\ \\ \bold{Solution:} \\ \\ \bold{Hint:} \\ If\ you\ are\ ask\ to\ get\ the\ next\ term/number, \\ used\ trial\ and\ error\ always. \\ \\ To\ solve\ this\ kind\ of\ series, \\ \underline{get\ the\ difference\ between\ the\ number\ to } \\ \underline{the\ other\ number\ \underline{consecutively}}  

.\ \ \ \ \ \ \ \ \ \boxed{^{\bold{\underline{Difference}}}} \\ . \ \ \ \ \ \ \ \ \ \ \ \ \downarrow \\ 10-12\to2 \\ 12-22\to10 \\ 22-34\to12 \\ 34-56\to22 \\ 56-90\to34 \\ \\ ^{If\ you\ want\ to\ ask\ me\ what\ is\ the\ purpose\ of\ getting\ the\ difference...} \\ ^{\bold{Then\ here's\ the\ answer...}} \\ \\ Add\ the\ following\ difference\ to\ get\ the\ \underline{\bold{\underline{difference}}\ of\ \bold{?\ and\ 90}}: \\ \\ 2+10\to12 \\ 10+12\to22 \\ 12+22\to34 \\ 22+34\to\boxed{56}

Therefore,\ \bold{56\ is\ the\ awaited\ difference}\ to\ get\ the\ final\ answer. \\ \\ \bold{Add}\ the\ last\ set\ of\ number\ which\ is\ \bold{90\ to\ 56}\ to\ get\ \\ the\ value\ of\ the\ next\ number. \\ \\ \boxed{90+56=\underline{\bold{146}}} \\ \\ Therefore,\ the\ value\ of\ the\ next\ number\ is\ \bold{146}. \\ \\ The\ complete\ set\ of\ the\ number\ series\ is: \\ \\ \{10,\ 12,\ 22,\ 34,\ 56,\ 90,\ \bold{146}\} \\ \\ \\ Hope\ it\ Helps :) \\ Domini

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