catwinz3170 catwinz3170
  • 15-09-2022
  • Mathematics
contestada

What is the sum of the first 50 terms in the arithmetic sequence 5, 8, 11, 14,...?

Respuesta :

bb4212005 bb4212005
  • 15-09-2022

Answer:

3925

Step-by-step explanation:

We can use the formula  [tex]an=a1+(n-1)d[/tex]  to find 50th term where:

[tex]an[/tex] is the nth term in the sequence

[tex]a1[/tex] is the first term in the sequence

[tex]d[/tex] is common difference between terms

[tex]5+(50-1)*3=152[/tex]

We also use the formula [tex]Sn=n*(a1+an/2)[/tex] to find the sum

[tex]50*(\frac{5+152}{2})=3925[/tex]

Answer Link

Otras preguntas

three co-workers want to fill a friends office with balloons as a joke.The room is 8ft high,9ft long,and 11ft wide.of 3 balloons fill 1 cubic foot how many ball
at which position does the diver have the most gravitational potential energy
DNA is typically found in cells in the form of a very long strand that is coiled many times and contains thousands or millions of nitrogen bases. Which term bes
The average alcohol-related fatality in Florida costs the public more than $__________ million
What are the three things needed for photosynthesis
Which example is nonpoint-source pollution? A. polluted rainwater B. a factory discharging wastes into a river C. smokestack emissions from a factory D. sewage
in what kind of government does a small group have a firm control over a country?
11 times 12 equals 10 plus 1 times 10 + 2 what property does this demonstrates
what is 9.045 rounded to the nearest hundredths
What is 760 hundreds