Mathematics College

Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.

Answers

Answer 1

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

Related Questions

Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0

Answers

Answer:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Step-by-step explanation:

Use the quadratic formula to solve for all real solutions.

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Plug in and solve:

[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]

Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]

and

[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =

Answers

Given the position function

s(t) = 3 - cos(t )

differentiate once to get the velocity, and twice to get the acceleration:

v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92

a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40

The acceleration is negative, so the particle is slowing down.

I need the answer too all of these:

1. 7x + 1x = ?

2. 6 + 1 + 5x = ?

3. 4x + 7x + 3 - 2 = ?

4. 6x + 6 + 8 + 1x = ?

5. 7x - 7x + 2 = ?

6. 3x + 6 + 1x = ?

7. 8- 8x - 3 = ?

8. 2x - 5 + 2 =

HELP ASAPP

Answers

1. 8x
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3

1.) 8x

2.) 7 + 5x

3.) 11x + 1

4.) 7x + 14

5.) 2

6.) 4x + 6

7.) 8x - 5

8.) 2x - 3

You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?

Answers

Answer:

Step-by-step explanation:

It does not say what the tax is so the answer would be 12. You just divide 2 by 24.

Answer:

Step-by-step explanation:

24 divided by 2 is 12 or 2 times 12 is 24

mark me brainliest

Lisa purchased almonds for $3.50 per pound here
de and your estimate
2450 How many pounds of almonds did she
purchase?

Answers

700 pounds of almonds

The awnser would be 700 pounds of almonds
Heart and comment.

30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf

Answers

Answer:

Step-by-step explanation:

50 x .3

Answer:15

Step-by-step explanation:

Write the missing decimal so that each pair adds to 1/2 + ...= 1

Answers

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

I need help with math

Answers

Answer:

6:3

Step-by-step explanation:

Can someone please help me with my math homework?

Answers

Where’s the picture

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