Respuesta :
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :
3, 12, 48, 192, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by
[tex]a_n=ar^{n-1}.[/tex]
For the given sequence, we have
first term, a = 3 and the common ratio, r is given by
[tex]r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.[/tex]
Therefore, the 9th term of the given sequence will be
[tex]a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.[/tex]
Thus, the required 9th term of the given sequence is 196608.
Option (D) is CORRECT.
Answer:
The correct option is (D) 196608.
Step-by-step explanation:
The correct option is (D) 196608.
