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3 years ago

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

Answer:

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest

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Answer:

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Step-by-step explanation:

Given a sector of a circle with the following dimensions:

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(b)Area of the sector

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$=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)$

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