Question

the arithmetic progression 17,12,7,2_____ . It's nth term is​

Answer 1

Answer:

see.

Tn= a+(n-1)d

now,

d= -5

a= 17

now put the formula

17+(n-1) -5

17-5n+5= -5n+22 is the ans.

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Answer 2

Answer:

the $n^{th}$ term of the sequence is $22-5n$.

Step-by-step explanation:

The $n^{th}$ term of an arithmetic progression is given by,

$a_n=a+(n-1)d$

where $a$ is the first term of the sequence and $d$ is the common difference.

The given sequence is 17,12,7,2,...

The first term of the sequence is  17 and the common difference is

$12-17=7-12=-5$

So the $n^{th}$ term is,

$a_n= 17+(n-1)(-5) =17-5n+5=22-5n$.