Answer:
[tex]\large\boxed{29524}[/tex]
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:
[tex]\frac{a(r^n-1)}{r-1}[/tex]
Plug in 1 to a, 3 to r, and 10 to n
[tex]\frac{1(3^10-1)}{3-1}[/tex]
Now, you solve:
[tex]\frac{1(3^10-1)}{3-1}\\\\\frac{59049-1}{3-1}\\\\\frac{59048}{2}\\\\\text{Divide}\\\\29524[/tex]
When you're done solving, you should get 29524.
I hope this helped you out.
Good luck on your academics.
Have a fantastic day!
