Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.


What is the sum of a seven-term geometric series if the first term is -2, the last term is
-31,250, and the common ratio is -5?


Sagot :

Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

[tex]\frac{a_1(1-r^n)}{1-r}[/tex]

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

[tex]\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042[/tex]