Which graph best represents the equation created when the slope of y = 6x is changed to 0?
1 answer:
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Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .
The recursive formula for the sequence is:
Here, represents the
of the sequence.
And, represents the
of the sequence.
'+5' denotes that '5' is added to the term to get the
term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8.
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the term of the sequence is 37.
Answer:
31 oranges
Step-by-step explanation:
Let n be the number of oranges and m be the number of bags Mr. Teo has.
If he packs 5 oranges in each bag, then he packs 5m oranges in m bags and since he is short of 4 oranges,
If he packs 4 oranges in each bag, then he packs 4m oranges in m bags and since he has 3 oranges left,
Equate right sides of these two equations:
Hence,