yolandacoles8191 yolandacoles8191
  • 17-12-2018
  • Mathematics
contestada

Find the 100th term in the arithmetic sequence

-19,-14,-9,-4,1...
a.
100
c.
476
b.
471
d.
481


Please select the best answer from the choices provided

A
B
C
D

Respuesta :

gmany
gmany gmany
  • 18-12-2018

[tex]a_n=a_1+(n-1)d\\\\d=a_{n+1}-a_n[/tex]


[tex]a_1=-19;\ a_2=-14;\ a_3=-9;\ a_4=-4;\ a_5=1;\ ...\\\\d=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\d=-14-(-19)=-14+19=5\\\\a_n=-19+(n-1)(5)=-19+5n-5=5n-24\\\\a_{100}=5(100)-24=500-24=476\to\boxed{c.}[/tex]

Answer Link

Otras preguntas

Lucy was playing a card with two friends. They were playing with a deck of 21 cards. Lucy dealt 1/3 of the deck to each person. How many cards did lucy get?(for
What is a non example for thymine?
what is the answer to y=-5x+13
What does she completely lost her head mean ????
how do you know how to write 1/2 in percent?
Are $64,480 per year and $1,240 per week both unit rates?
What si the answer to this? I'm bad at graphs sorry :). Btw it's number 22
How did Iron get its name? (Iron the metal) Just need a really simple answer please, for my Homework :)
Marita orders 12 yards of material to make banners.If she needs 2 foot of fabric for each banner how many banners can she make?
What did Africans do to iron ore during the Iron Age in order to make it possible to create iron tools and weapons?