Question

What is a of n equal to? What is the 10tn term in the sequence?

Answer 1

Answer:

nth term, $T_n=1(2)^n^-^1$

10th term, $T_1_0=512$

Step-by-step explanation:

From the question;

• We are given the first term, $a_1=1$
• 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;

$T_n=a_1r^n^-^1$

Therefore, in this case;

nth term will be given by;

$T_n=1(2)^n^-^1$, where n is the term in the sequence;

Therefore;

To get the 10th term of the sequence;

$T_1_0=1(2)^1^0^-^1$

$T_1_0=1(2)^9$

$T_1_0=512$

Therefore, the tenth term of the sequence is 512