The Nth term of an AP is 12-4n .Find the first term and the common difference
The first term of the AP can be found by substituting n = 1 into the expression 12 - 4n:
a₁ = 12 - 4(1)
a₁ = 12 - 4
a₁ = 8
Therefore, the first term of the AP is 8.
The common difference of the AP can be found by subtracting the (n-1)th term from the nth term:
d = (12 - 4n) - (12 - 4(n - 1))
d = 12 - 4n - 12 + 4n - 4
d = 0 - 4
d = -4
Therefore, the common difference of the AP is -4.