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
S_A_V [24]
3 years ago
6

Is the sum the sum of the arithmetic 1635?​

Mathematics
2 answers:
horsena [70]3 years ago
7 0

Answer:

1199

Step-by-step explanation:

There are 22 terms in the sum:

23 + 26 + 29 + ... + 80 + 83 + 86 =

= (23 + 86) + (26 + 83) + ... + (53 + 56)

= 109 + 109 + ... + 109

= 11(109)

= 1199

Troyanec [42]3 years ago
7 0
ANSWER

1199

EXPLANATION

The given series is

\sum_{n=9}^{30}(3n-4)

To find the first term of this series, we put n=9 into the formula.

a = 3(9) - 4 = 23

To find the last term, we put n=30

l = 3(30) - 4 = 86

There are 22 terms from the 9th term to the 30th term

The sum of the consecutive n-terms of an arithmetic series is given by;

S_n= \frac{n}{2} (a + l)

We substitute n=22, a=23, and l=86 to get;

S_ {22}= \frac{22}{2} (23 + 86)

S_ {22}= 11 \times 109

S_ {22}= 1199
You might be interested in
HURRY pls
ioda
It is a rhombus.......
8 0
3 years ago
Read 2 more answers
Please help me!! <br> solve 31 = x + 25.5
serious [3.7K]

Answer:

x = 5.5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

31 = x + 25.5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 25.5 on both sides:                    5.5 = x
  2. Rewrite:                                                      x = 5.5
6 0
3 years ago
Read 2 more answers
8 times the total of x and 3
Pani-rosa [81]
8(x+3)
total means addition and times means multiplication so when you put it together you get 8*x+3 and because you want the total of x*3 you put it in parentheses
<span />
8 0
3 years ago
David had a bunch of grapes for his snack . If he at 0.1 of a pound every hour , how many pounds did he eat in a 4.4 hours ?
olga_2 [115]
0.44 lbs. 
Is likely your answer
8 0
3 years ago
Read 2 more answers
Shannon's chair is 20 inches tall. How tall is it in centimeters?
JulsSmile [24]

Answer:

50.8 centimeters

Step-by-step explanation:

So, if Shannon's chair is 20 inches tall, you would multiply that by 2.54 in order to get the length in centimeters.

20 x 2.54 = 50.8.

So Shannon's char is 50.8 centimeters tall.

6 0
3 years ago
Other questions:
  • In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins. (a) The
    7·1 answer
  • Which choice shows a correct way to find 6 × 3 × 5?
    12·2 answers
  • A spotlight on a 3.0 m stand shines on the surface of a swimming pool. The beam of light hits the water at a point 7.0 m away fr
    13·1 answer
  • Which graph represents the function below?
    10·1 answer
  • The chef allowed 20 minutes cooking time per pound for a roast weighing 6 lbs. 12 oz. If the roast was placed in the oven at 4:2
    5·1 answer
  • What is the solution set for x in log4(x+5)+log4x=log4 14
    15·1 answer
  • A box contains cards numbered from 1 to 100 . find the probability of getting a prime .​
    12·1 answer
  • What is the simplified form of (4p-2)(p-4)​
    7·1 answer
  • Madison and Tyler each wrote an expression that is equivalent to 14.1 (19.8 + 7.6). The expressions they created are shown in th
    11·2 answers
  • What is the percent of decrease from 600,000 to 60,000? Write your answer using a percent sign (%).​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!