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.
