gracedemetral gracedemetral
  • 11-06-2021
  • Mathematics
contestada

Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...

Respuesta :

cwrw238 cwrw238
  • 11-06-2021

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer Link

Otras preguntas

4.5 , 3.25 , 2 , 0.75 next three terms
Should a president die in office, which official succeeds the president if the vice president is unable to assume the role?
What is the x-intercept of the line with the equation -2x+1/2y=18
Please answer the following question in English. Why does Hispanic Heritage Month start on September 15th? Why do we have this celebration in the United States?
The Earth’s core is made of an alloy of A. iron and nickel. B. copper and iron. C. zinc and magnesium. D. iron and zinc.
Sputnik is associated with
Tobacco use can negatively impact a person's health, family, and finances. True or false
Identify the correct sentence. a. ​"I'll meet you at the​ library," mickey said. b. ​"I'll meet you at the​ library," Mickey said. c. ​"I'll meet you at the​
What percent of 145 is 29
How do you identify the place of each dígito of 70,315