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hodyreva [135]
3 years ago
10

Write the explicit formula that represents the geometric sequence -2,8,-32,128.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

a_{n} = - 2(-4)^{n-1}

Step-by-step explanation:

The n th term ( explicit formula ) for a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = - 2 and r = 8 ÷ - 2 = - 4, thus

a_{n} = - 2(-4)^{n-1}

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3 years ago
Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30
Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

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Putting values in the above formula, we get;

I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

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Step-by-step explanation:

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