Answer:
<em> (n - 1)/2</em>
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
Answer:
2.4x +2.2
Step-by-step explanation:
5.4x−1.1−3(x−1.1)
The first step is to distribute the -3
5.4x−1.1−3(x) -3(−1.1)
5.4x -1.1 -3x +3.3
Now we need to combine like terms
5.4x-3x -1.1+3.3
2.4x +2.2
Answer:
x-1=0 x=1
x+1=0 x= -1
x+5=0 x= -5
Step-by-step explanation:
Answer:
(a) 
(b) 
Step-by-step explanation:
GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 
in an auditorium and notice that there are 
seats in your row. It appears the row in front of you has 
seats and the row behind you has 
seats. Suppose this pattern continues throughout the auditorium.
TO FIND: a) How many seats are in the first row b) How many seats are in the 
row?
SOLUTION:
total seats in 
total seats in 
total seats in 
as it clearly form an A.P. with 
(a)
let total seat in first row be 
as total seats in 
total seats in first row are
(b)
total seats in be 
total seats in row are
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
