Answer:
The right solution is "18". A further explanation is given below.
Explanation:
The given series is:
1,2,4,8,12
Here,
First term,
a₁ = 1
Second term,
a₂ = 2
Last term,
n = 12
Now,
The sum of the sequence will be:
⇒
![S_n = (n ( a 1 + a 2 ) )/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/wcje4xmfywb3h7dcd1w6vefz985yvn1ifc.png)
On substituting the values, we get
⇒
![=(12(1+2))/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/r12ca9l96l1irg64sqq0z2w9oq93lkpolc.png)
⇒
![=(12* 3)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/e9nzpzxiei9rj1mj1nfteso2t1oroip74c.png)
⇒
![=(36)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9xlfzrmh6qq1so6bes42vyxlhi0qlhowab.png)
⇒
![=18](https://img.qammunity.org/2022/formulas/mathematics/high-school/7dkz597hi1pmzqq9urz25p2radig8kwnir.png)