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Bumek [7]
3 years ago
11

One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

a_{n} = 5 * 3^{n-1}

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

a_{1} *r^{n-1}

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = a_{1} * 3^{4 - 1}

135 = a_{1} * 3^3

135 = 27a_{1}

a_{1} = 5

Now, we can substitute the first term back in:

a_{n} = 5 * 3^{n-1}

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Convert a markup of 15% on selling price to its equivalent markup on cost.
spayn [35]

Answer:

option: D is correct. (  (D) a markup of 15% on selling price is equivalent to a 85% markup on cost ).

Step-by-step explanation:

" Markup is the percentage difference between a product's cost and its selling price "

Since we are asked to Convert a markup of 15% on selling price to its equivalent markup on cost.

As there is a markup of  15% on selling price. Hence the cost of the product would be (100-15)%=85% of the selling price.

<em>Hence, a markup of 15% on selling price is equivalent to a 85% markup on cost.</em>

<em>Hence, option D is true.</em>

5 0
3 years ago
It takes 68 days for John to plants to grow 3 centimeters. About how many weeks is that? The answers choices are as follow : abo
Nesterboy [21]
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5 0
4 years ago
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Which expression is NOT equivalent to 24 + 18?
Alex
2(12+18) is not equivalent to 24+18
4 0
3 years ago
Select the correct answer.<br> A and АВ:<br><br> Which matrix is matrix B?
Kruka [31]

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

5 0
3 years ago
a ball is shot straight upward. with it's height, in feet, after t seconds given by the function f(t)=-16t^2+192t. Find the aver
jekas [21]

ANSWER

80  {ms}^{ - 1}

EXPLANATION

The average velocity of the ball is the rateof displacement over the total time.

The height of the ball, in feet, after t seconds is given by the function:

f(t)=-16t^2+192t

At time t=1, the height of the ball is

f(1)=-16(1)^2+192(1)

f(1)=-16+192 = 176ft

At time t=6, the height of the ball is

f(6)=-16(6)^2+192(6)

f(6)=-16(36)+192(6)

f(6)=-576+1152 = 576

The average velocity

=  \frac{f(6) - f(1)}{6 - 1}

=  \frac{576- 176}{6 - 1}

=  \frac{400}{5}

= 80  {ms}^{ - 1}

7 0
3 years ago
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