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statuscvo [17]
2 years ago
7

Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you

so much!

Mathematics
1 answer:
kati45 [8]2 years ago
4 0

Answer:

2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536

2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748

Step-by-step explanation:

The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.

2a:

a₈ = 12 * -2⁸⁻¹ <em>{Subtract 1 from 8 to get 7}</em>

a₈ = 12 * -2⁷ <em>{2⁷ is 128. Since the exponent is odd, this will be negative.}</em>

a₈ = 12 * (-128) <em>{Multiply 12 by -128 to get -1536.</em>

a₈ = -1536

2b:

a₈ = 4 * 3⁸⁻¹ <em>{Subtract 1 from 8 to get 7)</em>

a₈ = 4 * 3⁷ <em>{7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 218</em><em>7</em><em>.}</em>

a₈ = 4 * 2187 <em>{Multiply 4 by 2187 to get 8748}</em>

a₈ = 8748

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Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making
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Answer:

  • D.  l = 3  ||  4 < c < y   ||  8l + 7.5c ≥ 70

Step-by-step explanation:

<h3>Work at library</h3>
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<h3>Work at coffee shop</h3>
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<u>So the system as per above parameters:</u>

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Correct option is D

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3 years ago
An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How
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Answer:

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455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

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