Number Puzzle #68
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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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Sumit Deswal says
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
fivebee says
Its 13 =8
Ujjwal Saxena says
Completely illogical. What is your equation? How does it satisfy first number? Also what is 1+2+4+6??
puzzlersworld says
i have updated the explanation, hope the reasoning is clear to you now.
hhhhhhhhh says
13