Variables - a quantity that may change, depends on the context of the math problem. Ex: x,y
Terms - a variable, or constant, that is multiplied by a variable or variables.
Ex: 5x + 2 + 3y <-- has 3 terms
Coefficient - the constant that multiplies the variable and is next to a variable, Ex: (5x) <-- coefficient is 5
Constants - A fixed value such as 5, 6, 7, etc
Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: 




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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: 




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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: 




You have to add 10 last.
divide 75÷8 and then add 10