Question 30

A series is given with one term missing. Choose the correct alternative from the given options that will complete the series.

Series: 1, 4, 13, 40, 121, ?

Solution

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The pattern in the series is multiplying the previous term by 3 and adding 1.

T(1)=1 (Initial term)
T(2) = 1 × 3 + 1 = 4
T(3) = 4 × 3 + 1= 13
T(4) = 13 × 3 + 1 = 40
T(5) = 40 × 3 + 1 = 121
T(6) = 121 × 3 + 1 = 364

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