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.
2(x+4)=2x+8=-7-3x switch 3x+2x=-7-8=-15=5x so x=-15/5=-3
Answer:
a = (n + p)/m
Step-by-step explanation:
just divide by m on both sides
hope this helped!
2.5 is your answer because first we divide the numbers then subtract 2 from both sides and simplify
Answer:
784000
Step-by-step explanation:
Given data
Profit = 700000
Let us begin by finding what 12% of 700000 is
=12/100* 700000
=0.12* 700000
=84000
Hence the profit made last years was
=84000+700000
=784000
