Answer:
nth term, [tex]T_n=1(2)^n^-^1[/tex]
10th term, [tex]T_1_0=512[/tex]
Step-by-step explanation:
From the question;
- We are given the first term, [tex]a_1=1[/tex]
- The common ratio, r = 2
We are required to write the formula of getting nth term and find the 10th term of the sequence;
- We need to know that for nth term in a geometric sequence, we use the formula;
[tex]T_n=a_1r^n^-^1[/tex]
Therefore, in this case;
nth term will be given by;
[tex]T_n=1(2)^n^-^1[/tex], where n is the term in the sequence;
Therefore;
To get the 10th term of the sequence;
[tex]T_1_0=1(2)^1^0^-^1[/tex]
[tex]T_1_0=1(2)^9[/tex]
[tex]T_1_0=512[/tex]
Therefore, the tenth term of the sequence is 512
