Write an explicit formula for a, start subscript, n, end subscripta
n

, the n, start superscript, th, end superscriptn
th
term of the sequence 26, comma, 24, comma, 22, comma, point, point, .26,24,22,....
Answer
Attempt 2 out of 3

a, start subscript, n, end subscript, equalsa
n

=

Respuesta :

Answer:

  an = 26 -2(n -1)

Step-by-step explanation:

You want the explicit formula for the arithmetic sequence that starts 26, 24, 22, ....

Arithmetic sequence

The difference between successive terms of this sequence is ...

  24 -26 = -2

The first term is 26.

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 +d(n -1) . . . . . . a1 is the first term and d is the common difference

Using the values above, we have ...

  [tex]\boxed{a_n=26-2(n-1)}[/tex]

__

Additional comment

This could be simplified to an = 28 -2n, if you like.

Answer:

Step-by-step explanation:

26, 24, 22

nth term

= a + d(n - 1)

= 26 - 2(n - 1)

= 26 - 2n + 2

= 28 - 2n