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3. Write an expression for the nth term of the sequende 3, 9, 27, 81..
Assume n starts at 1.​


Sagot :

Answer:

Finding the nth term

•Understanding the pattern:

The given sequence is: 3, 9, 27, 81, ...

We can see that each number is multiplied by 3 to get the next number.

Expressing the pattern:

The first term (n=1) is 3, which is 3^1.

The second term (n=2) is 9, which is 3^2.

The third term (n=3) is 27, which is 3^3.

The fourth term (n=4) is 81, which is 3^4.

Generalizing the pattern:

We can see a pattern: the nth term is 3 raised to the power of n.

Writing the expression:

The expression for the nth term is: 3^n

So, the nth term of the sequence 3, 9, 27, 81, ... is

3^n