Question

What is the sum of the geometric sequence 1,3,9 if there are 10 terms

Answer 1

answer is 29524 using formula. (a(r^n-1))/r-1

Answer 2

`\large\boxed{29524}`

Explanation:

We know that the terms of the sequence is 1, 3, 9

We're trying to find the total if there are 10 terms.

We know that:

• It's multiplying by 3 every time

We need to find the sum for 10 terms

To do this, we would use the equation:

`(a(r^n-1))/(r-1)`

Plug in 1 to a, 3 to r, and 10 to n

`(1(3^10-1))/(3-1)`

Now, you solve:

`(1(3^10-1))/(3-1)\\\\(59049-1)/(3-1)\\\\(59048)/(2)\\\\\text{Divide}\\\\29524`

When you're done solving, you should get 29524.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!