Question

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?

Answer 1

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula $s_n=\frac{a1r^n}{1-r}$

$S_n$ & $n$= the sum of geometric sequence & terms in total (8)

$r$= common ratio (5)

$a_1$= first term in sequence (3)

$s_8=\frac{3(5)^(^8^)}{ 1-5 }\\s_8=\frac{(3)390625}{-4}\\s_8= \frac{1171875}{ -4 }\\s_8=292968$

Answer 2

If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = 292,968

The correct result would be 292,968.