We can figure this out using the explicit formula.
n represents the term we are looking for.f(1) represents the first term in the sequence, which in this case, is -242.d represents the common difference, which in this case, is -9.
f(n) = -242 + -9(n - 1)
f(n) = -242 - 9n + 9
f(n) = -233 - 9n
Now, we can input 28 for n and solve.
f(28) = -233 - 9(28)
f(28) = -233 - 252
f(28) = -485
The 28th term of the sequence is -485.
Slope intercept form is the form of y=mx+b. Your m is the slope, and the b is your starting point. To find this, you can start at the bottom, and go to the next point it passes through. It is alway rise over run. Rise is your y, x is your run, so it is always y/x. If you need help finding the slope, use the slope formual, which is y₂-y¹/x₂-x₁. You can use any of the points on here to get your slope... As for the B, well... I can't really help you on that. Sorry! But I hope this helps! :)
Answer:
<h2>The total value of all the letters in the alphabet is 676.</h2>
Step-by-step explanation:
The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.
To find the total sum of all values, we have to use the following formula
Where 
, 
and 
. Replacing values, we have
Therefore, the total value of all the letters in the alphabet is 676.
Answer: A = X + Y
B = X or Y. A = 12, B = 8, X = 2, Y = 10, A = 12, B = 9.
Step-by-step explanation:
7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x
