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:
D
Step-by-step explanation:
Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.
Answer: yes, because it is a straight line and is on the origin and goes through the origin so it is a proportional relationship
hoped this helped let me know if it did
<span>Commutative Property is the property in which you can move around numbers in numerical operations like, addition and multiplication while retaining their result. In contrast to subtraction and division in which position is an important factor for every result, here it is regardless. </span>Why might you want to use this property?<span>Well, most importantly it suits the operation of addition and hence, to ensure the arrangement of the number is in symmetric proportion to its counterpart such as 3 + 2=2 + 3. Or rather, understanding that the equations in both sides are but the same and equal in sum. Thus, this is much more usable or will make more sense if used in a larger scale of complex equations and integers.<span>
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- Three vertices of a rectangle have coordinates<span> (–</span>3, 1), (7,1), and (7, –4<span>). ... What are the </span>coordinates<span> of the </span>fourth vertex<span> of the </span>rectangle? A. (–3, –4) B. (–3, –1) C. (7, –3) ... go straight down basically -3<span> there </span>has<span> to be two -</span>3 for<span> x coordinate and two </span>7 for y coordinate<span> ... Mathematics; </span>5<span> points; 37 seconds ago.</span>
