Question

What is the tenth term of the geometric sequence 3, 6, 12, 24, 48, … ?

Answer 1

You multiply each number by 2 until you get to the tenth term 3*2=6*2=12*2=24 until the tenth term 1,536

Answer 2

Answer: Value of tenth term of the geometric sequence is 1536.

Step-by-step explanation:

Since we have given that

3, 6, 12, 24, 48, …

Since it is a geometric sequence.

So, here ,

a = first term = 3

r= common ratio is given by

$r=\frac{a_2}{a_1}\\\\r=\frac{6}{3}\\\\a=2$

We need to find the tenth term of the geometric sequence.

As we know the formula for "nth term ":

$a_n=ar^{n-1}\\\\Here,\ n=10\\\\a_{10}=3\times 2^{10-1}\\\\a_{10}=3\times 2^{9}\\\\a_{10}=3\times 512\\\\a_{10}=1536$

Hence, Value of tenth term of the geometric sequence is 1536.