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3 years ago

Can someone explain me this question

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

Yeeet brothers this is no help dont sew me

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Write the first five terms of the sequence defined by the recursive formula

stepan [7]

Answer:

The correct answer option is: $S_9=\frac{9}{2} (2+26)$

Step-by-step explanation:

We know that,

the sum of the first $n$ terms of an Arithmetic Sequence is given by:

$S_9=\frac{n(a_1+a_n)}{2}$

where $n$ is the number of terms,

$a_1$ is the first term of the sequence; and

$a_n$ is the first term of the sequence.

So for $a_n=3n-1$ ,

$a_1=3(1)-1=2$

and

$a_9=3(9)-1=26$

Putting these values in the formula to get:

$S_9=\frac{9(a_1+a_9)}{2}$

$S_9=\frac{9(2+26)}{2} \\\\S_9=\frac{9}{2} (2+26)$

First five terms:

$a_1=3(1)-1=2$

$S_1=\frac{1(2+2)}{2}$ =2

$a_2=3(2)-1=5$

$S_2=\frac{2(2+5)}{2}$ =7

$a_3=3(3)-1=8$

$S_2=\frac{3(2+8)}{2}$ =15

$a_4=3(4)-1=11$

$S_4=\frac{4(2+11)}{2}$ =26

$a_5=3(5)-1=14$

$S_5=\frac{5(2+14)}{2}$ =40

8 0

2 years ago

Read 2 more answers

What is the distance between W(3, 1) and X(-2,-5)? Round to the nearest tenth.

Darina [25.2K]

Answer:

D. 7.8

Step-by-step explanation:

Distance formula: $\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }$

Substituting (-2 - 3)² + (-5 - 1)²

Distance = $\sqrt{(-5)^2 + (-6)^2}$

Distance = $\sqrt{25 + 36}$

Distance = 7.8

5 0

2 years ago

Select the expressions that are equivalent to 18m - 12.

krok68 [10]

Answer:

All the expressions other than option E, is equivalent to the expression 18m - 12.

Step-by-step explanation:

A. 6m - 4 + 6m -4 + 6m - 4

or 6m+6m+6m -4 -4 -4

or 18m -12

B. 12m + 6 - 6m -6

or 12m - 6m + 6 - 6

or 6m

C.6(3m - 2)

or 18m - 12

D.3(6m - 4)

or 18m - 12

E. 24n - 4² + 8 -6m

This option can not satisfy the given expression as it contains another variable as n.

4 0

3 years ago

Greg bought 19 11/16 gallons of gas. What decimal should the meter on the gas pump read? (19 11/16 its a fraction) plss help &lt

Katena32 [7]

Answer:

That would be 19.6875 in decimal form.

Step-by-step explanation:

7 0

2 years ago

What is the relation between the variables in the equation x^4/y=7?

makkiz [27]

Answer:

So, the relation between variables are

$y=\frac{x^4}{7}$

Step-by-step explanation:

We are given

$\frac{x^4}{y}=7$

Since, we have to find relation between variables

so, we can solve for y

$\frac{x^4}{y}=7$

Firstly, we will multiply both sides by y

$\frac{x^4}{y}\times y=7\times y$

we can simplify it

$x^4=7\times y$

we can isolate y

so, we can divide both sides by 7

so, we get

$y=\frac{x^4}{7}$

8 0

2 years ago