Question

Use your imagination to find the nth term 1/2,1/4,1/8,1/16

Answer 1

If we observe the given sequence, we can see that each term is obtained by dividing the previous term by 2.

The first term is 1/2.
The second term is 1/2 ÷ 2 = 1/4.
The third term is 1/4 ÷ 2 = 1/8.
The fourth term is 1/8 ÷ 2 = 1/16.

This pattern continues, dividing each term by 2 to obtain the next term.

Therefore, the nth term, denoted by Tn, can be calculated as:

Tn = 1/(2^n)

For example:
T1 = 1/(2^1) = 1/2
T2 = 1/(2^2) = 1/4
T3 = 1/(2^3) = 1/8
T4 = 1/(2^4) = 1/16

Using this formula, we can find the nth term for any position in the sequence.