Answer:
The n th of the given sequence is [tex]t_{n} = 26-6 n[/tex]
Step-by-step explanation:
Step 1 :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is[tex]d = second term- first term = 14-20=-6[/tex]
now the nth term of given sequence is
by using formula [tex]t_{n}=a+(n-1)d[/tex]
[tex]t_{n}= 20+(n-1)(-6)[/tex]
[tex]t_{n}= 20-6 n+6[/tex]
final answer:-
[tex]t_{n} = 26-6 n[/tex]
verification:-
[tex]t_{n} = 26-6 n[/tex]
put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is
[tex]t_{n} = 26-6 n[/tex]
