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lapo4ka [179]
3 years ago
12

Find the number n that fits all of these conditions.

Mathematics
2 answers:
makvit [3.9K]3 years ago
6 0
When you look at your choices, we see that 8 is not a factor of 36 and 9 is not a factor of 48. the last choice of 6 is not larger than 6, ...so 12 is the only appropriate answer as it is a factor of 36, 48, and larger than 6.
zavuch27 [327]3 years ago
6 0
N is larger than the number 6: Therefore option (D) is disqualified.

N is a factor of 36: The factors of 36 = 1, 2, 3, 4, <u>6</u>, <u>9</u>, <u>12</u>, 18, 36

<span><span>N is a factor of 48:</span> The factors of 48 = </span><span>1, 2, 3, 4, <u>6</u>, <u>8</u>, <u>12</u>, 16, 24, 48

The only answer matching all of the above criteria is Option (A) 12</span>
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<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

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3 years ago
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