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3 years ago

11

What is a formula for the nth term of the give sequence -3,5,13

1 answer:

kari74 [83]3 years ago

5 0

Step-by-step explanation:

Given sequence is: - 3, 5, 13...

Here first term a = - 3

common difference d= 5-(-3)=13-5=8

Hence, it is in A. P.

Nth term of an AP is given as:

$t_n = a + (n - 1)d \\ \\ \therefore \: t_n = - 3 + (n - 1) \times 8 \\ \\ \therefore \: t_n = - 3 + 8n - 8 \\ \\ \huge \red{ \boxed{\therefore \: t_n = 8n - 11}}$

Which is the required formula for the given sequence.

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Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 2

jeka94

Answer:

Un batido de proteínas cuesta $ 5,25.

Step-by-step explanation:

El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:

Este es el sistema a resolver:

$x + 4\cdot y = 25,50$ (1)

$3\cdot x + 2\cdot y = 24,00$ (2)

Donde $x$ es el coste de un batido de fresa y $y$ corresponde al coste de un batido de proteínas:

1) Despejamos $x$ en (1):

$x = 25,50 - 4\cdot y$

2) Eliminamos $x$ en (2):

$3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00$

$76,50 - 12\cdot y +2\cdot y = 24,00$

3) Simplificamos y despejamos $y$ :

$10\cdot y = 52,50$

$y = 5,25$

Un batido de proteínas cuesta $ 5,25.

7 0

3 years ago

F(7) if f(x)=-3x-2

Paul [167]

Answer:

f(7) = -23

Step-by-step explanation:

f(x) = -3x - 2

f(7) = -3(7) - 2

f(7) = -21 - 2 = -23

4 0

3 years ago

Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.

stepladder [879]

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

$0.644=\frac{1}{p}$

$0.25=\frac{1}{q}$

where p and q are greater than 1

then

$0.644\times0.24=\frac{1}{p.q}$

But p.q is greater than 1, so 1/(p.q) is smaller than 1

7 0

3 years ago

Read 2 more answers

"the sum of d and 9.

ozzi

Answer:

d+9

Step-by-step explanation:

sum implies addition

so you would add d and 9

since d is a variable the most you can simplify is

d+9

6 0

3 years ago

Read 2 more answers

Use the explicit formula an = a1 + (n – 1) • d to find the 250th term of the sequence below. 57, 66, 75, 84, 93, ...

strojnjashka [21]

The general term of an arithmetic sequence is,

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

Where , $a_{n}$ = nth term.

$a_{1}$ = First term

and d = common difference.

The given sequence is: 57, 66, 75, 84, 93, ...

Here $a_{1}$ = 57,

d = 66 - 57 = 9

We need to find the 250th term. So, n = 250.

Next step is to plug in these values in the above formula. Therefore,

$a_{250} =57 +(250-1)*9$

= 57 + 249 * 9

= 57 + 2241

= 2298

Therefore, 250th of this sequence is 2298

Hope this helps you!

5 0

4 years ago