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
Marizza181 [45]
3 years ago
13

The 9th term of an arithmetic series is 5/2

Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

- 8050

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference.

We require to find both a and d

Given the 9 th term is 2.5 , then

a + 8d = 2.5 → (1)

Given the sum of the second and fifth term is 27, then

a + d + a + 4d = 27, that is

2a + 5d = 27 → (2)

Multiply (1) by - 2 and add to (2) to eliminate a

- 2a - 16d = - 5 → (3)

Add (2) and (3) term by term

- 11d = 22 ( divide both sides by - 11 )

d = - 2

Substitute d = - 2 into (1) and solve for a

a - 16 = 2.5 ( add 16 to both sides )

a = 18.5

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[ 2a + (n - 1)d ], thus

S_{100} = 50 [ (2 × 18.5) + (99 × - 2) ] = 50(37 - 198) = 50(- 161) = - 8050

You might be interested in
Anna cut a right triangle from a piece of fabric. The legs of the triangle measure 9 centimeters (cm) and 12 cm. What is the
Andrei [34K]

Answer:

15 centimeters

4 0
2 years ago
Let x be normally distributed with mean μ = 133 and standard deviation σ = 23. use table 1.
Svetlanka [38]
A) z value =  (x - π) / <span>σ   = 100 - 133 /  23  =  -1.43
p(<= 100) = 0.0764

</span>
8 0
3 years ago
Rectangle ABCD has vertex coordinates A(1, -2), B(4, -2), C(4,-4), and D(1,
hram777 [196]
The coordinates of C is, (3,-1)
A is the. Answer
4 0
3 years ago
A group of 85 people were asked whether or not they prefer a bagel or a muffin for breakfast and whether or not they prefer milk
gladu [14]

Answer:

The answer(s) would be WY/WZ, or WYZ (If this is multiple choice)

Step-by-step explanation:

The reasoning is that in the "IRL Equation" the polls showed that orange juice was prefered over milk, and didn't matter whether they wanted a bagel or muffin. All that matters in this equation is that it is one sided (For the 1st poll that is) and now you are able to narrow down the possibilities of the answer(s).

5 0
3 years ago
Solve<br> log4 (x+3)- log4 (x+2)≥3/2<br> Please help
mart [117]
Https://web2.0calc.com/ try this or

this http://rational-equations.com/in-rational-equations/graphing-equations/distributive-property-simplif...
they are math calculator..... hope this helps
4 0
3 years ago
Other questions:
  • What is the value of w in the figure below to the nearest degree?
    11·1 answer
  • a baseball diamond is a square that is 90' on each side. if a player throws the ball from 2nd base to home,how far will bar trav
    15·1 answer
  • What is the difference between graphing the inequality y &gt; x + 5 and y &lt; x + 5
    13·1 answer
  • A. 0<br><br><br> B. 1<br><br><br> C. 2<br><br><br> D. 3
    6·1 answer
  • I need to find the measure of the exterior angle of the triangle ​
    7·1 answer
  • During a three-month period, four trees in the Perillo's backyard grew in height. The rates at which the trees grew are listed b
    10·2 answers
  • Simplify 7 sqare root 3 takeaway 2 sqare root 3 add sqaure root 3 takeaway 3 sqaure root 3
    7·1 answer
  • Which expression is equivalent to
    7·1 answer
  • What is the value of m in the equation 5m − 7 = 6m 11? 18 1 −18 −1.
    13·1 answer
  • in 2009 a total of R36 000 was invested in two accounts. One account earned 7% annual interest and the other earned 9% .The tota
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!