Respuesta :
Answer:
hey mate.
Step-by-step explanation:
Select the correct answer
What is the 10th term of the geometric sequence 3,6, 12, 24,48 ...?
A. 512
B. 3,072
C. 768
D. 1,536
is ... 768
Answer:
D
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
Using a₁ = 3 and r = 2, then
[tex]a_{10}[/tex] = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536 → D