Answer:


Explanation:
we are given some numbers
25,19,13,9
and said to figure out the sequence and 52 term
recall arithmetic sequence

where a is the first term and d is the common difference
let's figure out d

and a is 25
now we need to substitute the value of a and d and simplify to get our formula
substitute the value of a and d:

distribute -6:

remove parentheses:

simplify addition:

so our formula is -6n+31
remember here n means nth number term
we are said to figure out 52 number term
so
substitute the value of n:

simplify multiplication:

simplify addition:
