Answer:
[tex]a_{50}=16[/tex]
Step-by-step explanation:
Given that,
An airthmetic sequence,
261,256,251
We need to find the 50th term.
We have,
first term, a = 261
common difference = 256-261 = -5
The nth term of the AP is given by :
[tex]a_n=a+(n-1)d\\\\a_{50}=a+49d\\\\a_{50}=261+49(-5)\\\\a_{50}=16[/tex]
So, the 50th term of the sequence is 16.
