In the following exercises, write the first five terms of the sequence whose general term is given.
1 answer:
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QUESTION 1.
The factors of 54 are all natural numbers that can divide 54 exactly.
The factors of 54 are: {1,2,3,6,9,18,27,54}
QUESTION 2
The prime factors of 54 are factors of 54 that are prime numbers.
The prime factors of 54 are {2,3}.
Product of prime factors of 54 is
QUESTION 3
All the factors of 60 are all positive integers that divide exactly into 60.
The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
QUESTION 4
The prime factors of 60 are factors of 60 that are prime numbers.
The prime factors of 60 are {2,3,5}
The prime factorization of 60 is .
QUESTION 5
The factors of 30 are {1,2,3,5,6,10,15,30}
The different ways she can put the beads into the boxes are
,
All 30 beads into one box or 1 bead in 30 boxes.
,
2 beads each into 15 boxes or 15 beads each into 2 boxes
,
3 beads each into 10 boxes or 10 beads each into 3 boxes
,
6 beads each into 5 boxes or 5 beads each into 6 boxes
Answer:
The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.
Step-by-step explanation:
Given that
Now, by susbstituting the value of 'y' from equation i to equation ii, we get
Now by factorization, equation iii can be written as
x = 3 and x = -1
By putting the values of x in equation i, we get
y = 4(3) + 1
y = 12 +1
y = 13
and
y = 4(-1) + 1
y = -4 +1
y = -3
Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.