Answer:
a_n = 28-2n
Step-by-step explanation:
Given sequence is:
26,24,22,20
We can see that the difference between consecutive terms is same so the sequence is an arithmetic sequence
The standard formula for arithmetic sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Here,
a_n is the nth term
a_1 is the first term
and d is the common difference
So,
d = 24-26
= -2
a_1 = 26
Putting the values of d and a_1
[tex]a_n = 26 + (n-1)(-2)\\a_n = 26-2n+2\\a_n = 28-2n[/tex]
Hence, the recursive formula for given sequence is: a_n = 28-2n ..
