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Paul [167]
4 years ago
15

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

Mathematics
2 answers:
tankabanditka [31]4 years ago
8 0

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.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
tia_tia [17]4 years ago
3 0

Answer:

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

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