a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as
Then the sum itself is telescoping:
b. The proof is trivial:
so the formula found in (a) is correct.
First we find the slope of the given line by using slope intercept form.
Converting the equation into slope intercept form
Divide both side by 5 we get
On comparing with
We get slope
as the slope of line is negative therefore the line will either "b" or "d"
As line "b" pass from (0,2)
On putting it in given equation we get
Which is not equL to RHS of the line
Therefore b is not the given line
Now putting point (0,-2)
We get
Satisfy the equation and line "d" pass from it
There the give equationis of line "d"
Answer:
Step-by-step explanation:
nth term = (n-1)th term + common difference
d = -10
a₁ = 3
a₂ = a₁ + d = 3 + (-10) = -7
a₃ = a₂ + d = -7 + (-10) = -17
a₄ = a₃ + d = -17 + (-10) = -27
a₅ =a₄ + d = -27 + (-10) = -37
a₆ = a₅ + d = -37 + (-10) = -47
First six terms: 3 , -7 , -17, -27, -37 , -47
Answer:
15
x^
4
y^
11 + 64
x
^2
y^
4
Step-by-step explanation: