savorya28p2xs4t savorya28p2xs4t
  • 14-12-2018
  • Mathematics
contestada

what is the 52nd term for the following sequence ? 14,6,-2,-10,-18

Respuesta :

gmany
gmany gmany
  • 19-12-2018

It's an arithmetic sequence:

[tex]a_1=14\\a_2=14-8=6\\a_3=6-8=-2\\a_4=-2-8=-10\\a_5=-10-8=-18\\\vdots\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=14,\ d=-8.\\\\\text{Substitute:}\\\\a_n=14+(n-1)(-8)=14-8n+8=22-8n\\\\\text{We need}\ a_{52}.\ \text{Put n = 52 to the formula}:\\\\a_{52}=22-8(52)=22-416=-394[/tex]

Answer Link

Otras preguntas

You are in time square New York and you jump north, towards the sky to your highest point, what is your velocity at the highest point of your jump and when are
The Question is above.
rhode island did which of the following wrong except
identify each belief house belonging to the Federalist Party or the Democratic Republican Party​
PLEASE HELP ASAP during the first home game, the eagle's soccer team had a total of 90 fans. by the second game, this number increased to 150 fans. What was the
Whats The Answer Marking Brainliest, Please explain your answer:D......
Which facts could be applied to simplify this expression?Ckeck all that apply 5x+3y+(-x)+6z
what is 0.32 of 44???​
(HELP ILL GIVE BRAINLIST) "Freedom makes a huge requirement of every human being. With freedom comes responsibility. For the person who is unwilling to grow up,
what is 362,000 rounded to the nearest ten thousand