Question 51

Complete the series: 7, 10, 19, 46, 127, _____.

Solution

Let T(n) represent the $$n^{th}$$ term of the series

T(2) - T(1) =10-7 = 3

Similarily T(3) - T(2) = 9

T(4) - T(3) = 27

T(5) -T(4) = 81

We can see that the difference of the terms are in GP

Hence T(6)-T(5) = 243

T(6) = 243+127 = 370

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