Answer:
an = -5n + 42
Step-by-step explanation:
The common difference in the sequence is 5.
That is to say:
37-32 = 5
32-27= 5
27-22 = 5.
Now to prove that -5n + 42 is the rule for the nth term of that sequence, let's test run the rule.
For the 1st term
an = -5n + 42
a1 = -5 (1) + 42
= -5 + 42
= 37
For the 2nd term
2
a2 = -5(2) + 42
= -10 + 42
= 32
Hope that helped
