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

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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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