Respuesta :

The answer is -- 29,524

Answer:

29,524

Step-by-step explanation:

This is a geometric sequence; notice how each new term is 3 times the previous term.  Thus, a(n) = 1 · 3^(n-1).  The 10th term is a(10) = 3^(9) = 19683.

a(4) = 27 (given)

a(5) = 81 (calculated)

a(6) = 243

a(7) = 729

a(8) = 2107

a(9) = 6561

a(10) = 19683 (previously calculated)

So the sum of the first 10 terms is 29,524.

1 + 3 + 9 + 27 + 81 + ... + 6561 + 19683 =