Respuesta :

kudzordzifrancis

ANSWER

[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]

EXPLANATION

The given sequence is

[tex]-3,-14,-25,-36,...[/tex]

The first term of the sequence is

[tex]a_1=-3[/tex]

The common difference is

[tex]d = - 14 - - 3[/tex]

[tex]d = - 11[/tex]

The recursive formula is

[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]

zainebamir540

Answer:

aₙ = aₙ₋₁  -11

Step-by-step explanation:

We have given the sequence:

-3,-14,-25,-36

We have to find the explicit formula.

The first term in this sequence is:

a₁ = -3

The common difference is:

a₂-a₁= -14-(-3) = -11

a₃-a₂ = -25-(-14) = -11

a₄-a₃ = -36-(-25)= -11

Common difference d = -11

The general formula is :

aₙ = aₙ₋₁ +d

Here d = -11 so,

aₙ = aₙ₋₁  -11 is the explicit formula.