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Brilliant_brown [7]
3 years ago
7

Recursive & Explicit Definitions

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

T_{15} = 9565938

Step-by-step explanation:

Given

Sequence: 2, 6, 18, 54, 162,

Required

Determine the 15th term

The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)

r = \frac{T_2}{T_1}

r = \frac{6}{2}

r = 3

The 15th term is calculated as thus:

T_n = ar^{n-1}

Where

a = 2 and n = 15

T_n = 2 * 3^{15-1}

T_n = 2 * 3^{14}

T_{15} = 2 * 4782969

T_{15} = 9565938

<em>The 15th term is 9,565,938</em>

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Would mind give me only answer​
anyanavicka [17]

Answer:

The volume is 2224.96632 or 2224.97(if rounded)

Step-by-step explanation:

First of all, I divided the diameter by two to find the radius:

16.2/2=8.1

Then I used the formula:

V =4/3 πr³

I hope this helps

5 0
3 years ago
A fair coin is tossed 5000 times. What can you say about getting the outcome of exactly 2500 tails
WINSTONCH [101]

Step-by-step explanation:

You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.

Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.

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6 0
3 years ago
Read 2 more answers
Periodic rate can be computed using this formula
Damm [24]

Answer & Explanation:

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3 0
3 years ago
Rewrite in radical form. If the number is rational, write it without using radical<br> (81)^(−1/4).
vesna_86 [32]

Answer:

1/3

Step-by-step explanation:

simplify

81^(-1/4)

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= 1/[3×3×3×3]^(1/4). (factorize 81)

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6 0
3 years ago
Find all solutions to the equation $x^2 - 8x = -16$.
statuscvo [17]

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

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16 is the square of 4 and -4.

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Answer: x = 4

6 0
3 years ago
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