Answer:
Sorry I don’t know I’m just answering this to so I can answer mine I’m sorry
Step-by-step explanation:
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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:
0.32, 0.45, 0.76.
Step-by-step explanation:
so first you would use your < >,= signs and compare all of them until you have eliminated ALL but one (so 0.91<0.98 this is because 0.98 is close to 1 whole than 0.91) and you would continue this explanation for so on
Answer:
Jennifer - 1st
Susan - 2nd
Emily - 3rd
Janice - 4th
Maria - 5th
Step-by-step explanation:
Susan is 2nd.
Places 1, 3, 4, and 5 are left.
Janice and Jennifer both start with J. None of the other swimmers start with the same first letter. One is 1st and one is 4th.
Since Maria finished immediately after Janice, and Janice must be 1st or 4th, Janice can't be first since 2nd place is already taken. This means that Janice is 4th and Maria is 5th.
Places 1 and 3 are left.
We know Jennifer is 1st or 4th and since 4th is taken, Jennifer is first.
Place 3 is left.
Emily must be 3rd since that is the only spot left.
