1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Citrus2011 [14]
3 years ago
7

If tñ=2ñ+3, find S10​

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

S_{10}=280

Step-by-step explanation:

Given that,

t_n=2n+3 ...(1)

We need to find the value of S_{10}.

Put n = 1 to find the first term.

t_1=2(1)+3=5

Put n = 2 to find the second term.

t_2=2(2)+3=7

Put n = 3 to find the third term.

t_3=2(3)+3=9

Put n = 10 to find the tenth term.

t_{10}=2(10)+3=23

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

S_=\dfrac{n}{2}(a+a_n)

We have, n = 10, a = 5 and a_n=23

So,

S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280

So, the value of S_{10} is equal to 280.

You might be interested in
How do I solve this?
pishuonlain [190]
Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.

y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.

y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.

y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.

Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
8 0
3 years ago
Translate the phrase into a math expression. 
Nonamiya [84]
Its d 20 / (1+4)...........................................................................



8 0
3 years ago
PLZ HELP ME ?!! I WILL GIVE BRAINLIST TO WHOEVER IS CORRECT
NNADVOKAT [17]

Answer:

1. <

2. >

3. >

4. >

5. <

6. <

7.  <

8. <

9. <

10.  >

Step-by-step explanation:

good luck!

7 0
3 years ago
Read 2 more answers
A kennel charge $25 per day to board dogs, where d represents the number of days. Upon arrival, each dog must have a one- time b
sergiy2304 [10]

Answer:

Option A. C(d)=25d+12

Step-by-step explanation:

Let

d -----> the number of days

C(d) -----> the total cost

we know that

The linear equation in slope intercept form is

y=mx+b

where

m is the rate or slope of the linear function

b is the y-coordinate of the y-intercept

In this problem we have that

C(d)=md+b

The slope of the linear equation is equal to the charge of $25 per day to board dogs

so

m=25\frac{\$}{day}

The y-intercept is the value of y when the value of x is equal to zero

In this problem the C-intercept is the total cost when the number of days (d) is equal to zero

The C-intercept is equal to the cost of the bath $12

so

b=\$12

substitute the values

C(d)=25d+12

8 0
3 years ago
Read 2 more answers
How did I lose 5 points?
PolarNik [594]

x + 4 = 3x - 8, is assuming D is the midpoint, and therefore ED = DB.

all we know is that D is <u>somewhere</u> in EB.


\bf E\stackrel{x+4}{\rule[0.35em]{17em}{0.25pt}}D\stackrel{3x-8}{\rule[0.35em]{10em}{0.25pt}}B&#10;\\\\\\&#10;EB=ED+DB\implies EB=(x+4)+(3x-8)\implies EB=4x-4

4 0
3 years ago
Other questions:
  • A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi
    14·1 answer
  • What is the area of the shaded portion? 18 points to whomever answers this.
    5·2 answers
  • If &lt;5 is 63 degrees find the measure of &lt;3.
    7·1 answer
  • How to write 3805076 in words
    7·2 answers
  • rationalize root six divided by root three minus root two. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%20%7D%7B%5
    13·2 answers
  • A plumber charges $50 to come to a house and $20 an hour for work time.
    7·1 answer
  • The gross domestic product (GDP) of the United States is defined as
    5·2 answers
  • Marie joined a book club. She had to pay a one time registration fee of 80.00 and then 3.00 per book.How much did it cost her to
    14·2 answers
  • Help plz i need hel-p im so stuck man im lost
    11·1 answer
  • Evaluate the function f(-6) if f(x) = 3x+9
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!