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chubhunter [2.5K]
3 years ago
5

Please help. If you get all of them correct, I will Mark you brainliest

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

9514 1404 393

Answer:

  • 3(2)^(n-1)
  • 3(-2)^(n-1)
  • 2(3)^(n-1)
  • not geometric
  • 2(-3)^(n-1)

Step-by-step explanation:

For these, you can find the appropriate formula by looking at the ratio of the first two terms. That will be the number in parentheses in the explicit formula. If there is no match, it is <em>not geometric</em>.

  1. 6/3 = 2 . . . an = 3(2)^(n-1)
  2. -6/3 = -2 . . . an = 3(-2)^(n-1)
  3. 6/2 = 3 . . . an = 2(3)^(n-1)
  4. 5/2 = 2.5 . . . not geometric (arithmetic sequence: an = 2+3(n -1))
  5. -6/2 = -3 . . . an = 2(-3)^(n-1)
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Step-by-step explanation:

Given the expression what Lizzet said was correct

6^3\times \:\:3^6=18^8

No, she is not right. Let me solve the expression

Let us solve the expression

6^3\times \:\:3^6

=\left(3\times \:2\right)^3\times \:3^6

\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c

=3^3\times \:2^3\times \:3^6          ∵  \left(3\times \:2\right)^3=3^3\times \:2^3

\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}

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6^3\times \:\:3^6=2^3\times \:\:3^9

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6^3\times \:\:3^6=2^3\times \:\:3^9

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