Question

what is the sum of a 7 term geometric series if the first term is 6 the last term is -24576 and the common ratio is -4

Answer 1

Sum = 19,662

Explanation:

Given that this is a finite geometric series (meaning it stops at a specific term or in this case -24,576), we can use this formula:

`(a(1-r^n))/(1-r)`, where a is the first term, r is the common ratio, and n is the number of terms.

Substituting for everything and simplifying gives us:

`(6(1-(-4)^7))/(1-(-4)) \\\\(6(16385)/(5)\\ \\(98310)/(5)\\ \\19662`