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

Why do people cry a lot?
NEED HELP ASAP.  Use the equation to answer the questions. SHOW YOUR WORK. h(t)-12t^2-24t-288 1. What is the height of the granola bar from the ground at the ba
Which only lists multiples of 18?
What is the percent increase from 250 to 900?
write 11/25 and 9/20 so that they can have a common denominator.
Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown: What is the approximate distance, in feet, between the two poles? 6.9
Help me pleaseeeeeeeeeeee
I've been having problems with this for a while...I would feel truly thankful if someone could answer and show the steps. I hope to better understand the concep
What is internal storage device
FIND THE RATIO BY MASS OF THE COMBINING ELEMENTS IN THE FOLLOWING COMPOUNDS (A) Al2(SO4)3 (B) CaCl2