Question

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

Answer 1

Answer:

$\large\boxed{29524}$

Step-by-step 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:

$\frac{a(r^n-1)}{r-1}$

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

$\frac{1(3^10-1)}{3-1}$

Now, you solve:

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

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

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

Answer:

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