Question

Find the missing number in the series 3 9 __ 180 1080

Answer 1

Answer:

the answer is 80.

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Answer 2

Answer:

The missing term in the series $3,\ 9,\ ?,\ 180,\ 1080$ is $36$.

Step-by-step explanation:

Consider the series as follows:

$3,\ 9,\ ?,\ 180,\ 1080$

Here, $a_1=3$.

Multiply the first term $a_1$ by the number $3$ to get the next term $a_2$.

⇒ $a_2=3a_1$

        $=3\times 3$

        $=9$

Now, if we multiply the second term $a_2$ by the number $4$, we get the next term $a_3$.

⇒ $a_3=4a_2$

        $=4\times 9$

        $=36$

Further, multiply the third term $a_3$ by the number $5$, we get the term $a_4$.

⇒ $a_4=5a_3$

        $=5\times 36$

        $=180$

Finally, multiply the forth term $a_4$ by the number $6$ we get the term $a_5$ as follows:

⇒ $a_5=6a_4$

        $=6\times 180$

        $=1080$

The general formula for the given series is as follows:

$a_n=(n+1)a_{n-1}$, $n\geq 2$, where $n$ is the number or term.

Thus, the missing term is $36$.

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