Answer:
C
Step-by-step explanation:
In general for arithmetic sequences, recursive formulas are of the form
aₙ = aₙ₋₁ + d,
and the explicit formula (like tₙ in your problem), are of the form
aₙ = a₁ + (n - 1)d,
where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.
But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So
tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript
tₙ₊₁ = tₙ + d
Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.
Answer:
Step-by-step explanation:
You are to take the square root across the inequality sign to make it plus or minus 3 squared.
The answer will therefore be C
Answer:
x=17°
Step-by-step explanation:
163+x=180 (L.P)
x=180-163
x=17°
ok. We are given the following equation:
Where:
Since we are asked to determine "H" we will solve for "H" in the equation. To do that we will first multiply both sides by -1:
Now, we will use the following property of logarithms:
Applying the property and having into account that:
We get:
Now we substitute the given value of "pH = 4.5":
Solving the operation:
Therefore, the hydrogen ion concentration of the fluid is 0.000032
