chamorudy8 chamorudy8
  • 15-07-2020
  • Mathematics
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Given the arithmetic sequence 4,7,10,13

which of the following equations will generate the sequence

Given the arithmetic sequence 471013 which of the following equations will generate the sequence class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 15-07-2020

Answer:

[tex] b. \: a_n =4+ 3(n-1)[/tex]

Step-by-step explanation:

Given Arithmetic sequence is: 4, 7, 10, 13

Here,

First term (a) = 4

Common Difference (d) = 7 - 4 = 3

nth term of an Arithmetic sequence is given as:

[tex] a_n = a + (n-1)d[/tex]

Substituting the values of a and d in the above sequence, we find:

[tex] a_n = 4 + (n-1)\times 3\\

\therefore a_n =4+ 3(n-1)\\

\huge \red {\boxed {\therefore a_n =4+ 3(n-1)}} \\

[/tex]

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