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

What is sediment and debris, and what role does it play in the way sedimentary rock forms? How does metamorphic rock form? How do magma and lava
Under augusto pinochet chile gain a reputation in the 1970s and 1980s for
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check all that apply. 1. x(3) = 2(4) 2. x(5) = 10
In what way does the line “sags like a heavy load” in "Harlem" relate to the overall feeling of "The Weary Blues"? The song lyrics in “The Weary Blues” reflect
Please help!! Ken at Cars101 sold a car for 18,250 and earned $693.50 in commission. What percent of the sale was his commission? Thanks!!
What is the circumference of a circle that has a area of 452.16
why the electrodes in a cell must be made from different materials
why was solon an important figure in ancient athens
What is the most likely transmission mechanism for the passage of leigh syndrome from parent to child?
Why do graphs of proportional relationships pass through the origin?