Find the 87th term of the arithmetic sequence 1,14,27,….

Answer:

unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.

Step-by-step explanation:

I hope this helps you!

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is

[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].

In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,

[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]

Answer:

The answer which I think is 3_4

Answer:

length of the guy wire: 49.056

Step-by-step explanation:

here are the steps

Answer:

47 FT

Step-by-step explanation:

Answer:

undefined.......it's infinity

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

Answer:

A = (0,1)

B = (1,-1)

C = (-1,-1)

Step-by-step explanation:

If this helped leave a brainliest

Answer:

89) no 90) yes 91) yes 92) yes 93) yes

Step-by-step explanation:

use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)

Answer:

I would go option a

Step-by-step explanation:

Option 2

Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.

Answer:

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

since the lone segment is 15 so add ab and ce and let bc be x

so 2+x+11.5=15

13.5 +x =15

x=1.5

Answer:

42

Step-by-step explanation:

Answer is -4

Step-by-step explanation:

8x-4< -36

8x < -36+4 (move [- 4] to the other side to find x)

8x < -32

8x < -4

Answer:

x < -4

Step-by-step explanation:

8x - 4 < -36

+4           +4 (Add 4 on both sides)

8x < -32

/8      /8        (Divide by 8 on both sides)

x < -4

Answer:

217 seconds

Step-by-step explanation:

3 minutes = 180 seconds

180 seconds + 37 seconds = 217 seconds

Answer:

Take the absolute value of -17.5

Step-by-step explanation:

Answer:

2. Take the absolute value of ' - 17. 5 '

Step by Step Explanation:

The distance/length is always positive, so make sure to take the absolute value of -17.5

Answer:

A. sec =12/13×

B. COS =12/13×

C. tan =12/5✓

D. sin =12/13 ✓

Step-by-step explanation:

we know,

using Pythagoras formula,

p=12,h=13 ,b=?

h^2 =p^2 +b^2

b=5

so tan = p/b

=12/5

sin=p/h and cosec= h/p

D. sin =12/13

Answer:

4/6

Step-by-step explanation:

ok so you have 2/3 for 1 group. so for 2 groups youll just have to add 2/3 + 2/3 and that gives u 4/6

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

Answer:

D. The function approaches 1 as x approaches -infinity and infinity

Step-by-step explanation:

Step 1: Divide numerator and denominator by [tex]x^2[/tex]:

[tex]\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}[/tex]

Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1

Answer:

y = -1/2x + 6

Step-by-step explanation:

We know that the slope intercept form of a line is .

Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.

So the slope of the equation will be .

Finding the y-intercept (c):

Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.

Answer:

a

Step-by-step explanation:

because a

Answer:

( 4 x − 7 ) ( 16 x 2 + 28 x + 49 )

Step-by-step explanation:

Answer:

(4x - 7) (16x^2 + 28x + 49)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the difference of cubes formula, a^3 - b^3 = (a - b) (a^ 2  +  a b  +  b^ 2 )  where  a  =  4 x  and  b  =  7 .

Answer:

i think r would be the same as q

Step-by-step explanation:

I believe it's an isosceles triangle, if there were a line going down the center,  each half should be symmetrical, so q and r are the same angle.

Answer:

32.5

Step-by-step explanation:

A triangle's angles add up to 180 degrees

(2x+15)+x+(x+35)=180

x=32.5

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.

Answer:

61 campers will focus on hockey.

Step-by-step explanation:

86+53=139

139-200=61

Answer:

-14

Step-by-step explanation:

Think of it like this-

subtracting a negative is like adding a positive, so all you have to do is add a negative sign to the sum after solving these sort of problems :>

Hope this helps!

Answer:

24?

Step-by-step explanation:

sabihin nyo kung mali -_-

Answer:

x=3

Step-by-step explanation:

x+3(-3)=-6

x-9=-6

  +9 +9

x=3

Answer:

x=3 y=-3

Step-by-step explanation:

solve for x then substitute x in the original problem then solve for y