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Find the missing term in the following sequence.$177,170,159,146,?,110$A. $132$B. $106$C. $129$D. $127$E. None of these

Last updated date: 13th Jun 2024
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Hint: To find the missing terms of the given sequence, we will find some pattern or some logic. In this example, we will make a positive difference of consecutive terms of the sequence to find the pattern or logic which is used.

Let us assume the missing term is $x$. Therefore, the given sequence is $177,170,159,146,x,110$.
$177 - 170 = 7 \\ 170 - 159 = 11 \\ 159 - 146 = 13 \\$
If we observe the above differences then we can see that $7,11,13$ are prime numbers. After $13$, the next prime numbers are $17$ and $19$. Therefore, we can say that the difference of $146$ and $x$ must be $17$. That is, $146 - x = 17$. That is, $x = 146 - 17 = 129$. Also we can see that the difference of $129$ and last term $110$ is $19$ which is the next prime number after $17$.
Therefore, in the given sequence the missing term is $129$.