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
Bess [88]
3 years ago
11

Find the sum of the first 47 terms of the following series, to the nearest integer.

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

18-13=5,\:\quad \:23-18=5

As the difference between all the adjacent terms is the same.

so

d=5

a_1=13

Arithmetic sequence sum formula

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

Put the values

d=5

a_1=13

n=47

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+115\right)

=47\cdot \:128

=6016

Thus, the sum of the first 47 terms of the given series = 6016

You might be interested in
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off
Scilla [17]

Answer:C. [12.35+(2.25x3)-2]÷3

8 0
3 years ago
Finding the Slope: Identify the slope. Will give 5 points if correct​
Varvara68 [4.7K]
It would be -3 this is because you do rise/ run or y/x so you have 3/1 and it is a negative slope so -3
7 0
3 years ago
Read 2 more answers
Help me please...<br> At least an explanation
In-s [12.5K]

Answer:

do u still need this question answeered?

Step-by-step explanation:

4 0
2 years ago
CAN SOMEONE PLEASE HELP
Allushta [10]
4 is the right answer
4 0
2 years ago
Read 2 more answers
The average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilometers? In pounds?
Illusion [34]
635.0293 kilograms

3086.472 pounds

Hope this helps.
7 0
3 years ago
Other questions:
  • PLZ HELP ASAP CIRCLES
    7·1 answer
  • 2^5/2 –2^3/2 please help me solve step by step please.
    7·1 answer
  • 2[3(4+ + 1] - 2<br> Please answer
    7·1 answer
  • This graph shows both a reflection and a translation. What function is being graphed?
    10·2 answers
  • The mean of 100 numberical observations is 37.53. what’s the value of the sum of all 100 numbers
    6·1 answer
  • N is an integer -1 &lt; n &lt; 4 list the possible values of n
    14·1 answer
  • What is 0.3 percent as a fraction
    9·1 answer
  • Matilda needs at least $112 to buy a new dress. She already has saved $40. She earns $9 an hour by babysitting. Write an inequal
    9·1 answer
  • Is 12:20 , 30:50 , 75:125 equivalent
    6·1 answer
  • The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!