Discussion Topic 3
A finite geometric series is the sum of a sequence of numbers. Take the sequence 1, 2,
4,8, for example. Notice that each number is twice the value of the previous
number. So, a number in the sequence can be represented by the function f(n) = 2n-1.
One way to write the sum of the sequence through the 5th number in the sequence
is In-12n-1. This equation can also be written as S5 = 2° + 21 + 22 + 23 + 24. If we
multiply this equation by 2, the equation becomes 2(55) = 21 + 22 + 23 + 24 + 25.
What happens if you subtract the two equations and solve for Ss? Can you use this
information to come up with a way to find any geometric series Sn in the form san-16h-1?

idk bring the function back   im not smart

step-by-step explanation:

i dont know

step-by-step explanation:

i think its a and d

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.