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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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Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle.  Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
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Final Answer: 69.68
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