Magtanong at makakuha ng maliwanag na mga sagot sa IDNStudy.com. Tuklasin ang malawak na hanay ng mga paksa at makahanap ng maaasahang sagot mula sa mga bihasang miyembro ng aming komunidad.

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