Step-by-step explanation:





Answer:
y = 6 hope this helps! :)
Step-by-step explanation:
1 = y over 6
multiply 6 by 1 to get 6
6/6 is one
Well for a line to be perpendicular to another the slope should be an opposite reciprocal, which in this case is -6/7. One example is y= -6/7x+2
Answer:
a) The error is that, the initial value is n=1 NOT n=3
b) The sum is 
c)The explicit formula is 
The recursive formula is
,
Step-by-step explanation:
The given arithmetic series is 8 + 13 + ... + 43.
The first term is
, the common difference is 
The nth term is given by:

We substitute the values to get:

To find how many terms are in the sequence we solve the equation:

The summation notation is 
The error the student made is in the initial value.
It should be n=1 NOT n=3
b) The sum of the arithmetic series is calculated using:

We substitute o get:



c) The explicit formula we already calculated in a), which is 
The recursive formula is given as:

We substitute d=5 to get:

It must end in a 0 for the number to be divisible by 10. The other 5 can go in any order, so 5 factorial (5!) = 5*4*3*2*1
120 numbers