Answer:
The formula for the nth term = 3(3 - n)
Step-by-step explanation:
The nth term of a given linear sequence is given by the formula
nth term = a + (n - 1)d
Where a = first term,
d = common difference
n = number of term
a = 6,
d = latter term - former term = 3 - 6 = -3
∴ nth term = 6 + (n - 1)(-3)
nth term = 6 - 3(n - 1)
= 6 - 3n + 3
= 6 + 3 - 3n
= 9 - 3n
By factorisation
nth term = 3(3 - n)