Answer:
Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.
This means that the value of k will go from 0 to 4, then all the numbers in the sum are:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
So we have 5 terms in our series.
b) to see the sign in each term, we must solve the powers, remember that:
(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
= 1 -1/2 + 1/4 - 1/8 + 1/16.
So the sign in each term of the series alternates.
 
        
             
        
        
        
ANSWER:
D. The answers will be different because after distributing the 4 in the first equation it will change the values.
Hope it helps u!
        
             
        
        
        
Answer:
Step-by-step explanation:
Sec B
1) 5p⁻³ = 8*5⁻²       
p⁻³  = 2³*5⁻²/5             
p⁻³ =2³*5⁻³              { 1/a^m = a^-m}
p⁻³ = 5⁻³ /2⁻³            {a^m = 1/a^-m}
p⁻³ = (5/2)⁻³
p= 5/2
2) 4x²  = 81
x²  = 81/4
x²  = 9² /2² 
x²  =(9/2)² 
x = 9/2
3) 9^x/3 =81
9^x/3 = 9^2
Comparing the powers, x/3 = 2
                                          x = 2*3 =6
   x = 6
 
        
             
        
        
        
Answer:
32 60 68
Step-by-step explanation:
These set of numbers are pythagorean triplets 
using the formula a2+b2 =c2 with these numbers would give you an accurate relationship in a right angled triangle
 
        
             
        
        
        
Answer:
it should be B, 
Step-by-step explanation:
the y-intercept is where it crosses the y axis, so that is the plus 2,
and the slope is -3/7 because it is down 3 over 7 hope this helps