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Number Puzzle #68, 1, 10, 30, ?, 130

(1 votes, average: 5.00 out of 5)

January 16, 2014 by puzzler 5 Comments

Number Puzzle #68

missing number in 1, 10, 30, ??, 130

missing number in 1, 10, 30, ??, 130

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Actually this is a GP with first element as 1 and variable factor. where the factor comes from this series
1, 3, 7, 13.

Tn = Tn-1 + 2^(n-1);
T1 = 1;
T2 = T1 + 2^(2-1)= 1 + 2 = 3;
T3 = T2 + 2^(3-1) = 3 + 4 = 7;
T4 = T3 + 2^(4-1) = 7 + 6 = 13

nth number in GP = first number * (10)(Tn-1 in series);
First Element in GP = 1;
Second Element in GP(i.e. n = 2) = 1*10*(T1 in series); = 10
Third element in GP(i.e. n =3) = 1*10*(T2 in series) = 1*10*3 = 30
Fourth element in GP (i.e. n =4) = 1*10*(T3 in series) = 1*10*7 = 70
Fifth element in GP (i.e. n =5) = 1*10*(T4 in series) = 1*10*13 = 130

Thus the missing number here is 70.

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Comments

  1. Sumit Deswal says

    July 9, 2015 at 3:24 pm

    0*0*0+1=1,2*2*2+2=10,3*3*3+3=30,4*4*4+4=68,5*5*5+5=130

    Reply
  2. fivebee says

    February 2, 2014 at 5:39 pm

    Its 13 =8

    Reply
  3. Ujjwal Saxena says

    January 23, 2014 at 10:37 pm

    Completely illogical. What is your equation? How does it satisfy first number? Also what is 1+2+4+6??

    Reply
    • puzzlersworld says

      January 24, 2014 at 2:50 pm

      i have updated the explanation, hope the reasoning is clear to you now.

      Reply
  4. hhhhhhhhh says

    January 16, 2014 at 2:54 pm

    13

    Reply

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