AP Police SI Mains 2019 Arithmetic and Reasoning

Instructions

A sequence of numbers or alphabets following a specific pattern is given. Fill in the blanks with suitable entry from the options that follows the same pattern.

Question 130

3, 14, 39, 84, ..............

Solution

Given series is in the pattern of $$\left(n+n^2+n^3\right).$$

So,

$$n=1\longrightarrow\ 1+1^2+1^3=3.$$

$$n=2\longrightarrow\ 2+2^2+2^3=14.$$

$$n=3\longrightarrow\ 3+3^2+3^3=39.$$

$$n=4\longrightarrow\ 4+4^2+4^3=84.$$

$$n=5\longrightarrow\ 5+5^2+5^3=155.$$

So, C is correct choice.

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