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vodka [1.7K]
2 years ago
12

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

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Answer:

   1. Going to the close store is cheaper.

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3 years ago
Seven times a number is the same as 12 more than 3 times the number. find the number
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3 years ago
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Zigmanuir [339]

Answer:

Eldest: $335,500   Middle: $182,750   Youngest: $167,750

Step-by-step explanation:

Let's represent the amount of money the youngest sibling received as x.

The amount the eldest received can be represented as: 2x

The amount the middle sibling received can be represented as: x + 15,000

If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:

686,000 = 2x + (x + 15,000) + x

Now let's solve for x. First, combine like terms

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Divide both sides by 4 to isolate the x

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Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.

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We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000

167,750 + 335,500 + 182,750 = 686,000

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Answer:

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