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3 years ago

Write an explicit formula for an, the nth term of the sequence 2, -1, –4, ....

Mathematics

2 answers:

Agata [3.3K]3 years ago

7 0

Answer:

a(n) = a(1) -3(n-1)

Step-by-step explanation:

ryzh [129]3 years ago

4 0

A(n)=a(1)-3(n-1)
Step by step explanation

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kwasi thought of a number, multiplied it by7/2 and added 16 to the results.if the final answer was 30.what number did he think o

ziro4ka [17]

Answer:

Step-by-step explanation:

represent the number he thought of with x

$\frac{7}{2} x + 16 = 30$

multiply through with the LCM which is 2
$2 \times \frac{7}{2}x + 16 \times 2 = 30 \times 2$
$7x + 32 = 60$
$7x = 60 - 32$
$7x = 28$
$\frac{7x}{7} = \frac{28}{7}$
$x = 4$

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2 years ago

Find the values of the six trigonometric functions for angle 0. write as fractions

nasty-shy [4]

Answer:

I accidently clicked answer and it won't let me quit

Step-by-step explanation:

I'm not even in high school yet D: sorry

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3 years ago

Find the 53rd term of the arithmetic sequence<br> 27,11, -5

vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term, that is, $d = a_{3} - a_{2} = a_{2} - a_{1}$ .

To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d$

$a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805$

The 53rd term of this arithmetic sequence is -805.

3 0

2 years ago

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line

anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

$V_L= 100 m^3/h * 3h=300\ m^3$

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

$V_R= 280 m^3/h * 3h=840\ m^3$

To get the best estimate of the total volume, let us find the average of the two values, hence:

$Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3$

3 0

2 years ago

Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80

Anni [7]

$a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}$

6 0

3 years ago