Respuesta :

mberisso

Answer:

The nth term for the given sequence can be written as:

[tex]a_n=6\,n+1[/tex]

Step-by-step explanation:

Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

Then, using the general expression for the nth term of an arithmetic sequence of first term "[tex]a_1[/tex]"  and common difference "d" we can write the nth term as:

[tex]a_n=a_1+(n-1)\,d[/tex]

which in this case translates as:

[tex]a_n=a_1+(n-1)\,d= 7\,+(n-1)\,6=7+6\,n-6=6\,n+1[/tex]

devishri1977

Answer:

Step-by-step explanation:

7,  13,  19,   25, .......

Arithmetic sequence.

First term = a = 7

Common difference = d = second term -  first term

            d = 13 - 7 = 6

nth term [tex]a_{n}=a+(n-1)d\\[/tex]

[tex]a_{n} = 7 +(n-1)*6\\\\\\a_{n}=7 + 6n - 6\\\\\\a_{n} = 1 + 6n[/tex]

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