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
natita [175]
3 years ago
15

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

st term
Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

<em>use </em><em>the </em><em>formula</em><em> for</em><em> </em><em>the</em><em> </em><em>nth </em><em>term </em><em>of </em><em>an </em><em>ap </em><em>Tn=</em><em>a+</em><em>(</em><em>n-1)</em><em>d</em>

<em>T12=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>T18=</em><em>1</em><em>3</em><em>.</em><em>5</em>

<em>therefore</em><em> </em><em>come </em><em>up </em><em>with </em><em>two </em><em>equations</em>

<em>T12=</em><em>a+</em><em>(</em><em>1</em><em>2</em><em>-</em><em>1</em><em>)</em><em>d</em>

<em>1</em><em>0</em><em>.</em><em>5</em><em>=</em><em>a+</em><em>1</em><em>1</em><em>d</em><em>(</em><em>1</em><em>s</em><em>t</em><em> </em><em>equation</em><em>)</em>

<em>T18</em><em>=</em><em>a+</em><em>(</em><em>1</em><em>8</em><em>-</em><em>1</em><em>)</em><em>d</em>

<em>1</em><em>3</em><em>.</em><em>5</em><em>=</em><em>a+</em><em>1</em><em>7</em><em>d</em><em>(</em><em>2</em><em>n</em><em>d</em><em> </em><em>equation</em><em>)</em>

<em>then </em><em>solve </em><em>both </em><em>as </em><em>a </em><em>simultaneous</em><em> </em><em>equation</em>

<em>a+</em><em>1</em><em>1</em><em>d</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a+</em><em>1</em><em>7</em><em>d</em><em>=</em><em>1</em><em>3</em><em>.</em><em>5</em>

<em> </em><em> </em><em> </em><em> </em><em>-6d/</em><em>-</em><em>6</em><em>=</em><em>-</em><em>3</em><em>/</em><em>-</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>d=</em><em>0</em><em>.</em><em>5</em>

<em>use </em><em>one </em><em>of</em><em> the</em><em> </em><em>equations</em><em> </em><em>to </em><em>find </em><em>the </em><em>first</em><em> </em><em>term</em>

<em>a+</em><em>1</em><em>1</em><em>(</em><em>0</em><em>.</em><em>5</em><em>)</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a+</em><em>5</em><em>.</em><em>5</em><em>=</em><em>1</em><em>0</em><em>.</em><em>5</em>

<em>a=</em><em>1</em><em>0</em><em>.</em><em>5</em><em>-</em><em>5</em><em>.</em><em>5</em>

<em>a=</em><em>5</em>

<em>I </em><em>hope </em><em>this </em><em>helps</em>

<em>please </em><em>mark</em><em> </em><em>as </em><em>brainliest</em>

You might be interested in
Luna had $50 dollars when she got to the carnival. After riding 12 rides she had $26 dollars left. What was the price of each ri
Alexeev081 [22]

$50 minus $24 equals $26 which means that she spent a total amount of $24 on rides 24 divided by 12 equals 2 which means each ride costs $2
We could represent the equation this way I guess ?
50 - ? = 26
?/12 = ?
Or maybe you could replace the question marks with an x
5 0
3 years ago
Read 2 more answers
5x 2(x - 3) = -2(x - 1)
natali 33 [55]
0000000000000000000000000000000
4 0
3 years ago
Please help me <br><br> Please, I beg you.
IgorLugansk [536]

Answer:

a reflection followed by a translation

Step-by-step explanation:

4 0
2 years ago
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
Brilliant_brown [7]

Answer:

I am not sure what the P is.

2,300,000,00. X 5% = $115,000,000. Commission

Step-by-step explanation:

4 0
2 years ago
No link nor file pease help im crying about these questions
lora16 [44]

Answer:

7

Step-by-step explanation:

10.5*2/3= 3.5*2=7

5 0
3 years ago
Read 2 more answers
Other questions:
  • if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
    8·1 answer
  • GUYS PLEASE HELP ME PLEASE HELP ME PLEASE PLEASE!!!!!
    8·1 answer
  • Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
    13·1 answer
  • What is the value of yearly compensation package that includes $65,000 salary the forecast of a $350 Dollar per month health ins
    5·1 answer
  • PLZZZ HELP FAST What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction? Negative StartFraction 7 o
    9·1 answer
  • What two numbers multiply to give 36 but add up to -13
    7·2 answers
  • Which of these is the same as <br> 8<br> 9<br> ÷ <br> 2<br> 3<br> ?
    15·2 answers
  • What is the arc measure of major arc ABC in degrees?
    15·1 answer
  • Determine the x-intercept points of the function h(x) = (x - 5)(x-6)(x + 4).
    15·1 answer
  • Amanda is the owner of a small chain of dental offices. She sent out the yearly satisfaction survey to 600 randomly selected pat
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!