All categories

2 years ago

If you are good at sequences in math please help I am giving more points

Mathematics

2 answers:

MaRussiya [10]2 years ago

6 0

Answer:

C. is the answer.

Step-by-step explanation:

Arithmetic sequences are linear.

So their slope is the same no matter the two points you choose.

We are given the following two points:

(7,71)

(16,26)

-----------

We can find the slope by subtracting vertically here and putting y difference on top of x difference.

71-26=45

7-16=-9

The slope is 45/-9=-5.

The equation so far is

a(n)=-5n+b

To find b we will use a known point on the line like (7,71):

71=-5(7)+b

71=-35+b

Add 35 on both sides:

106=b

The equation for the nth term is

a(n)=-5n+106

Now you could expand your choices to see switch matches.

Or you could write this equation into the form presented in the choices.

a(n)=-5(n-1+1)+106

a(n)=-5(n-1)-5+106

a(n)=-5(n-1)+101

a(n)=101-5(n-1)

vodka [1.7K]2 years ago

4 0

Answer:

C. 101 - 5(n - 1)

Step-by-step explanation:

d = (26 - 71)/(16 - 7)

d = -45/9

d = -5

a7 = a1 + (7-1)(-5)

71 = a1 - 30

a1 = 101

an = 101 + (n - 1)(-5)

an = 101 - 5(n - 1)

You might be interested in

-5, 20, -80, 320, ... is a geometric sequence a. Find the common ratio, b. Write its recursive rule c. Write its explicit rule.W

mario62 [17]

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

$\text{ratio}=\frac{20}{-5}=-4$

The recursive rule can be found with the formula:

$a_n=a_{n-1}\cdot q$

Where an is the nth term and q is the ratio. So we have:

$a_n=a_{n-1}\cdot(-4)$

The explicit rule can be written as:

$a_n=a_1\cdot q^{n-1}$

Where an is the nth term, a1 is the first term and q is the ratio. So:

$a_n=-5\cdot(-4)^{n-1}$

5 0

7 months ago

HELP PLEASE I WILL GIVE THE BRAINLIEST ANSWER Parking meter that is 1.6 m tall cast a shadow 3.6 m long at the same time a tree

Julli [10]

Answer:

I am not able to answer your question because I am unsure of what to solve for. :/

Step-by-step explanation:

4 0

2 years ago

The figures shown are similar.

SSSSS [86.1K]

Well first off here we know that one of the figures here is 24 and the other one is 18 so immediatly we can make a fraction out of this by putting the bigger number on the bottom as the denominator and the smaller number on the top as the numerator like so 18/24 we also know that this fraction can easily be simplified like so 3/4 (because 6 goes into each of them evenly) so the scale factor of these 2 figures is 3/4 or C.Enjoy!=)

4 0

2 years ago

In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known

mote1985 [20]

Answer:

arc BF = 76°
∠M = 31°
∠BGE = 121°
∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

arc BF = 2∠FBM = 2(38°)

arc BF = 76°

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

∠M = (1/2)(138° -76°) = 62°/2

∠M = 31°

(c) arc FC is the supplement to arc BF, so has measure ...

arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

∠BGE = 121°

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

∠MFB = 111°

3 0

3 years ago

Find the area of a circle with a diameter of 4.

Oliga [24]

area of circle =22/7×4=12.56

6 0

2 years ago

Read 2 more answers