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USPshnik [31]
2 years ago
11

The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence

.
Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

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What steps is flip second fraction only?
Assoli18 [71]

Answer:

To multiply two fractions, we multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. However, we are taught that when faced with a problem such as 3⁄5 ÷ 4⁄7, we should invert the second fraction and multiply.

7 0
2 years ago
The formula for the size of a file that was downloaded over time t and at an average rate r is r.t.
lakkis [162]

Answer:

The size of file downloaded is  <em>88 megabytes.</em>

Step-by-step explanation:

Given that:

Average rate of downloading the file = r

Time taken to download = t

Formula for the size of file downloaded = r.t

Rate of downloading, r = 800\ kilobytes/sec

Time taken, t = 110 seconds

To find:

Size of file downloaded in megabytes = ?

Solution:

First of all, let us apply the given formula to find the size of file downloaded:

Size of file downloaded = r.t

Size of file downloaded = 800 kilobytes seconds \times 110 seconds =

<em>88000 kilobytes</em>.

Now, let us convert the unit kilobytes to megabytes to find the answer.

<em>Conversion formula:</em>

1000 kilobytes = 1 megabyte

Let us use unitary method to find the number of megabytes in 88000 kilobytes.

1 kilobytes = \frac{1}{1000} megabytes

88000 kilobytes = \frac{1}{1000} \times 88000 megabytes

\Rightarrow <em>88 megabytes.</em>

Therefore, the size of file downloaded is  <em>88 megabytes.</em>

5 0
3 years ago
Based on these segment lengths, which group of segments can form a triangle?
REY [17]

Answer:

20,7,13. are the most correct for a triangular shape

8 0
3 years ago
Can someone help
iVinArrow [24]
3 is multiplying by itself 7 times. The answer is 3 superscript 7.
7 0
3 years ago
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The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]&#10;

Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]&#10;

=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
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