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:
5/18
Step-by-step explanation:
Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...
<u>-4 </u>x <u>-5</u> = <u>20</u> (when you multiply two negatives, it makes a positive)
9 x 8 = 72
20/72 simplifies to 5/18.
Hope this helps!! Have a wonderful day C:
Answer:
The distribution is symmetric.
Step-by-step explanation:
<em>The distribution will be skew left, if the data is more distributed on left side of graph.</em>
<em>The distribution will be right left, if the data is more distributed on right side of graph.</em>
<em>The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.</em>
<em>The distribution is uniform if the value of data remains constant throughout the graph.</em>
Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.
Thus, distribution is symmetric.
Answer:
X = -3
Step-by-step explanation:
X/2-5 = 1
X/-3 = 1
Multiply both sides by -3 to isolate x
X = -3
