Answer:
Step-by-step explanation:
Formula
Sn = (a + a + (n - 1)*d) * n / 2
Givens
Sn = 60
a = 3
Solution
You want integer values for d and n
60 = (2*a + (n - 1)*d) * n/2 Multiply both sides by 2
120 = (2*3 + (n - 1)*d ) * n
120 = (6 + n*d - d) * n
120 = 6n + n^2*d - d*n
This gives some really wild results. I will list all of them here. and then discuss them.
These are the ones that give results without any question and are correct.
n d tn
2 54 3 57
3 17 3 20 37
4 8 3 11 19 27
Here are some that are the gift of the equation
20 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.
-5 5
-1 63
-2 22
You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.
Sorry I’m not sure if this is much help but the answer is undefined because (y2-y1)/(x2-x1) would equal 7/0 for your slope therefore there is no equation for these points
Using the PSN method:
P = -9
S = 8
So N = 9,-1
Using 9 and -1 in the original equation gives:
Let us consider,
The problem: 'Find two numbers between which the quotient of 50 ÷ 7 lies'.
Solution: We will solve this in two steps.
Step 1: Form a table of multiples of 7.
Counting number Multiple of 7
1 7
2 14
3 21
4 28
5 35
6 42
7 49
8 56
Step 2: Use the table to find the multiples closest to 50.
Since, 49 = 7 × 7 and 56 = 7 × 8
Thus, 50 lies between 49 and 56.
Then, the quotient is either 7 or 8.
As 50 is closest to 49.
Hence, the quotient of 50 ÷ 7 is 7.
