Question

2: Find a10 given the geometric sequence 3, 12, 48, 192, ...

Answer 1

`B\text{ : 786,432}`

Step-by-step explanation:

Here, we want to find the 10th term of the given geometric sequence

Mathematically, the nth term of a geometric sequence is calculated by:

`a_n\text{ = ar}^(n-1)`

where:

a is the first term which is 3

r is the common ratio which is the division of the preceding term by the succeeding term. We have that as:

`(12)/(3)\text{ = }(48)/(12)\text{ = 4}`

n is the term number which is 10

Substituting the values, we have it that:

`\begin{gathered} a_(10)\text{ = 3 }*4^(10-1) \\ a_(10)=\text{ 786,432} \end{gathered}`