beautyxpills
beautyxpills beautyxpills
  • 20-06-2019
  • Mathematics
contestada

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

Respuesta :

vaishnavi9573
vaishnavi9573 vaishnavi9573
  • 20-06-2019

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 Link
jimrgrant1 jimrgrant1
  • 20-06-2019

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

Answer Link

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