devyns21oyfqtq
devyns21oyfqtq devyns21oyfqtq
  • 03-06-2019
  • Mathematics
contestada

Find the sum of the first 100
terms of the arithmetic
sequence
a1=15 and a 100=307

Respuesta :

jcherry99
jcherry99 jcherry99
  • 03-06-2019

Answer:

16100

Step-by-step explanation:

n = 100

a1 = 15

a100 = 307

The first thing you have to do is solve for d

a100 = a1 + (n - 1)*d

307 = 15 + (100 - 1)*d

307 = 15 + 99*d

307 - 15 = 99*d

292 = 99 d

d = 292 / 99

d = 2.94949494

That's a real odd result, but it is what you get.

Sum = (a + L)*n/2

sum = (15 + 307)*n/2

Sum = 322 * 100 / 2

Sum = 16100 It looks like I didn't have to solve for d. The person who made this up sure didn't

Answer Link

Otras preguntas

3 Leah surveyed the 35 members of her class to find out their favorite color. She listed this information in the form of a table, as shown here. Favorite Colors
There are 5 puppies in a room. One puppy is 15 weeks, another is 9 weeks, another is 4 weeks, and another is 10 weeks. If the average age of the puppies is 9 we
What U.S. economic measurement “shrank” from $21.4 trillion in 2019 to $20.9 trillion in 2020 as a result of the coronavirus pandemic?
Who were being killed in the holocaust​
What is the Coordinate point solution of -12+4y=24
Pls help me ASAP I’ll brainlest for the right answer
Find the length of Zy to the nearest tenth of a foot?
The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions?
Why do we wear masks?
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 10 square feet. Find the length of the rectangle.