Question

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

Answer 1

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

10th term,
`T_1_0=512`

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