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
emmasim [6.3K]
3 years ago
7

Find the 12th term of the arithmetic sequence given a3=116 and a7=180​

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ;   a + 2d = 116 ---------(i)

a7 = 180;   a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

           a + 2d = 116 ---------(i)

(ii)*-1    <u>-a - 6d = -180</u> -------(ii)   { Now add the two equations}

              - 4d = -64

                   d = -64/-4

                  d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

        a = 116 - 32

        a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

You might be interested in
Length real-world example
Mariana [72]
The lenght of your ruler is 6inches or approximately 15cm.
5 0
3 years ago
Read 2 more answers
For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?
Gekata [30.6K]

Answer:

<h3>0.48688</h3>

Step-by-step explanation:

Let's solve your equation step-by-step.

d=(−0.306)(1.67)+0.9979

Step 1: Simplify both sides of the equation.

d=(−0.306)(1.67)+0.9979

d=−0.51102+0.9979

d=(−0.51102+0.9979)    (Combine Like Terms)

d=0.48688  

6 0
3 years ago
What is the change in elevation from -87.2 Feet to 33.6 Feet?
allochka39001 [22]

Answer:

120.8 feet

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HELP PLS<br> Classify the triangle by its angles &amp; sides if ∠A = 85 &amp;
omeli [17]
The angle of the triangle would be 72
3 0
3 years ago
Abigail has $356 in her bank account. She earns simple interest on her money at a rate of 3% per year for a total of five years.
fredd [130]

Answer:

it's probably b

Step-by-step explanation:

I don't know how to do it so don't do b

7 0
3 years ago
Other questions:
  • 600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much
    7·1 answer
  • How do you simplify 18/24
    6·2 answers
  • What is the height of a triangle whose base is 9 centimeters and whose area is 126 square centimeters
    7·1 answer
  • Divide 5x2 − 7x − 6 by x − 2. <br> 5x − 5 <br> 5x + 3 <br> x − 5 <br> x + 3
    9·2 answers
  • I have no idea how to work out these problems please help
    9·1 answer
  • Sam and Annika ride their bikes to school. Sam rides his bike (k) kilometers . Annika rides her bike 2 less than 4 times as many
    7·1 answer
  • Is 3.4 feet greater than 1 meter
    15·2 answers
  • 5 1/2 ton equals how many lbs
    5·2 answers
  • A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t
    5·1 answer
  • HELP PLZZ!!!!!!!! Look at this equation: 2 H2 + O2 --&gt; 2 H2O. Why isn't there any coefficient in front of oxygen?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!