carolinecolbert2003 carolinecolbert2003
  • 04-05-2021
  • Mathematics
contestada

Write the nth term of the following sequence in terms of the first term of the sequence.

1, 8, 15, 22, . . .

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 06-05-2021

Answer:

         [tex]\bold{a_n=7n-6}[/tex]

Step-by-step explanation:

a₁ = 1

a₂ = 8 = 1 + 7 = a₁ + 7

a₃ = 15 = 1 + 7 + 7 = a₁ + 7×2

a₄ = 22 = 1 + 7 + 7 + 7 = a₁ + 7×3

Therefore:

               [tex]a_n=1+7(n-1)=1+7n-7\\\\a_n=7n-6[/tex]

Answer Link

Otras preguntas

2x^2+19x+24 How do u work this out?
What situation has prompted Brontë to write this letter to Ellen Nussey?
What strikes some people as comical about peguins apperance?
The u.s. became involved in the spanish-american war partly because it wanted more territories. many americans believed the u.s. was fated to expand into more a
most ocean waves obtain their energy and motion from
When economists make the assumption that wants are unlimited, they mean that most people?
What is biomass energy?
While being a tireless worker for civil rights, Dr. Benjamin E. Mays would have been MOST likely to impact people what kind of people? A) nurses B) students C
How often should a tetanus immunization shot be given to a person? a. every 3 years b. every 5 years c. every 7 years d. every 10 years
Select the most likely consequence of making credit card payments late. a. fees and paying the introductory interest rate on the balanceb. paying higher interes