sweetgirl23forlife24 sweetgirl23forlife24
  • 20-10-2020
  • Mathematics
contestada

The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 21-10-2020

Answer:

             [tex]\bold {a_n=-3n+8}[/tex]

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_3=5+d(3-1)\\\\-1=5+2d\\\\-6=2d\\\\d=-\frac62=-3\\\\\\a_n=5+(-3)(n-1)\\\\a_n=5-3n+3\\\\a_n=-3n+8[/tex]

Check:    [tex]a_{10}=-3(10)+8=-30+8=-22[/tex]

Answer Link

Otras preguntas

What information can scientists obtain from tree rings?
Coordination occurs when companies work to understand the needs and wants of consumers. True or false
Why did tensions emerge between the soviet union and her former allies before world war ii?
Two (balanced) six-sided dice are tossed. what is the probability that the sum is 12 given the first roll is a 6.
I NEED HELP ASAP Explain the error in the work and how you might prevent it.ANSWER:-14x and 12x² are not like terms, so they can’t be subtracted.To prevent this
After wwi, which factor was the major cause of the migration of many african americans to the north?
A benefit of using good human relations is that you'll
Look at this ancient Roman painting of a scene from the Odyssey. What does this painting demonstrate? a.A union of realism and surrealism b.A lack of anatomic
Which of the following is a closed question? a. Why did Marsha go to the mall? c. Why didn’t you turn in your homework? b. What did Susan do on vacation? d. Wil
PLEASE HELP find the diameter, round to the nearest tenth 49.1 55.5 60.7 68.2