3. The 5th grade received 35 boxes of markers to split evenly between 6 classrooms. How many boxes will each classroom receive?
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2 answers:
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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:
All the possible values of lies in the interval
.
Step-by-step explanation:
As the range of is
As the range of is
As contains the set of number between 3 to 4, and
contains the values of from 4 to 5.
can be obtained by subtracting the values of
from
.
So,
⇒
⇒
Therefore, all the possible values of lies in the interval
.
Keywords: number, value, interval
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