Let us check series : -10 /-2 = 5 -50/-10 = 5
so it is a geometric series with a= -2 and r= 5
sum formula for n terms of geometric series = a ( r^n -1 ) /( r-1)
here we find S5 that is n= 5 = -2 ( 5^ 5 - 1) /( 5-1)
= -2 ( 3125 -1) / 4 = -1562
second series is : 1.5/1 = 1.5 2.25/1.5 = 1.5
this is also geometric series but n = 12 a= 1 and r= 1.5
we use same formula
S12 = 1 ( (1.5) ^12 -1) /( 1.5-1) =
128.74 / 0.5 = 257.49
Last is 2/1= 2 4/2 = 2 8/4 = 2 so r = 2 a = 1 and n = 12
we use same formula 1 ( 2^12 - 1) / (2-1)
= 4095
Answers : -1562 , 257.49 , 4095
Answer:
x = ![-\frac{75}{32}](https://tex.z-dn.net/?f=-%5Cfrac%7B75%7D%7B32%7D)
Step-by-step explanation:
10 =
+
* x
10 =
+ (
)²x
10 =
+
* x
x = ![-\frac{75}{32}](https://tex.z-dn.net/?f=-%5Cfrac%7B75%7D%7B32%7D)
Answer:
75%
Step-by-step explanation:
PEMDAS
Parentheses first
5(-3) + x + 20
Exponents, then multiplication/division
-15 + x + 20
addition/subtraction
x + 5
Use the difference of squares factor rule to get
4x^2-9y^4
(2x)^2-(3y^2)^2
(2x-3y^2)(2x+3y^2)
The final answer is choice C
Note: the order of the factors does not matter