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kirza4 [7]
1 year ago
13

Suppose that a sequence is defined as follows.a₁ = -4, an=3an-1+7 for n>2List the first four terms of the sequence.

Mathematics
1 answer:
maria [59]1 year ago
8 0

The sequence is defined as

an = 3an - 1 + 7

This means that

a2 = 3(a(2 - 1) + 7

a2 = 3a1 + 7

From the information given ,

a1 = - 4

Thus,

a2 = 3 * - 4 + 7 = - 12 + 7

a2 = - 5

a3 = 3(a(3 - 1) + 7

a3 = 3a2 + 7

a3 = 3 * - 5 + 7 = - 15 + 7

a3 = - 8

a4 = 3(a(4 - 1) + 7

a4 = 3a3 + 7

a4 = 3 * - 8 + 7 = - 24 + 7

a4 = - 17

Thus, the first four terms of the sequence are

- 4, - 5, -

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There are a total of 15 dimes and quarters in a covered cup. The value of all 15 coins totals 2.85
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Answer:

There are 6 dimes and 9 quarters.

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6 0
3 years ago
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order. The profit for the
jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

That is:

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The profit for the year was $176,500.

To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

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The second partner will receive 2/10 of the profits:

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The third partner will receive 5/10 of the profits:

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The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

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2 years ago
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