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3 years ago

Find the nth term for the sequence 20,18,16,14..

Mathematics

1 answer:

Anastasy [175]3 years ago

5 0

Answer:

20-2(n-1)

Step-by-step explanation:

The general term (or the nth term) of this sequence is [20-2(n-1)].

Verification:

1st term = 20-2(1-1) = 20-2(0) = 20-0 = 20

2nd term = 20-2(2-1) = 20-2(1) = 20-2 = 18

3rd term = 20-2(3-1) = 20-2(2) = 20-4 = 16

4th term = 20-2(4-1) = 20-2(3) = 20-6 = 14

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jek_recluse [69]

$f(x) = {x}^{2} - 3x + 2$

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put x = (z)

$f(z) = {z}^{2} - 3 \times z + 2 \\ \\ {z}^{2} - 3z + 2 \\ \\ {z}^{2} - 2z - z + 2 \\ \\ z(z - 2) - 1(z - 2) \\ \\ (z - 1)( z -2 ) \\ \\ (z - 1) = 0 \: \: , \: \: (z - 2) = 0\\ \\ z = 1 \:, \: 2$

put x = (x+1)

$f(x + 1) = {x}^{2} - 3x + 2 \\ \\ {(x + 1)}^{2} - 3 (x + 1) + 2 \\ \\ {x}^{2} + 1 + 2x - 3x - 3 + 2 \\ \\ {x}^{2} - x \\ \\ x(x - 1) \\ \\ x(x - 1) = 0 \\ \\ x - 1 = \frac{0}{x} \\ \\ x - 1 = 0 \\ \\ x = 1.$

put x = (√2 + 1 )

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2 years ago

Combining like term 6k+7k

Nadya [2.5K]

13k is the answer :)

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3 years ago

Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin

Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation $M_1D_1=M_2D_2$

$6\times 12=(x+6)\times 8$

$8x+48=72$

$8x=24$

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4 years ago

What is the estimated temperature if the dissolved salt is 98g?<br><br> 54<br> 61<br> 161<br> 171

madreJ [45]

Ths solubility curve is used to show the amount of salt dissolved (solubility).

<h3>What is the solubility curve?</h3>

The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.

If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.

Learn more about solubility curve: brainly.com/question/9537462

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2 years ago

A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?

poizon [28]

Answer:

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Step-by-step explanation:

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3 years ago