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

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]

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