Answer:
The equation for the nth term of the given arithmetic sequence is: 
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: 
Where 
is the nth term, 
is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
So, the common difference d is 13
Now, equation for nth term will be:
So, the equation for the nth term of the given arithmetic sequence is:
where n=1,2,3..
Times both sides by 10
(10g)/10=-9*10
(10/10)g=-90
1g=-90
g=-90
Answer:
Step-by-step explanation:
m = slope where
m = rise / run
rise = y2 - y1
run = x2 - x1
where
the given point P1 = (7, -12)
and is in the form of (x1,y1)
and
the given point P2 = (-9,36)
is in the form of (x2,y2)
then
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 36 - (-12) ) / ( -9 -7 )
m = ( 36 + 12 ) / ( - 16 )
m = 48 / - 16
m = - 3
the slope is negative 3
slope = - 3
Answer:
15
integers from 1 to 9 have only one number each, so in total 9 numbers. integers from 10 to 12 have 2 numbers each, 3*2=6. 9+6=15
Step-by-step explanation:
1. -9x - 3 - 3 + 2x
-7x - 6
3. 3 - 4x - 7x - 2
-11x - 1
4. 5x - 1 + 3 + 2x
7x + 2
