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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Determine if the sequence is arithmetic 4,9,14,19

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Answer:

Yes, the sequence is arithmetic

Step-by-step explanation:

4 + 5 = 9

9 + 5 = 14

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2 years ago

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loris [4]

Answer:

The answer is 276.32 square yards.

Step-by-step explanation:

To solve for the surface area of a cylinder, use the surface area of a cylinder formula, which is SA= 2 $\pi$ rh + 2 $\pi$ $r^{2}$ . However, instead of using ( $\pi$ ), 3.14 will be used.

Next, plug in the information from the question into the formula. The formula will look like SA= 2(3.14)(4)(7) + 2(3.14)( $4^{2}$ ). Then, solve the equation, and the final answer will be 276.32 square yards.