Given that the sum of the first 20 terms of the AP, S20 is 1280.
Let the first term and the common difference of the AP be a and d respectively.
From question, d=20.
The sum to n terms of the AP is given by
Sn=n2(2a+(n−1)d).
∴S20=202(2a+(20−1)20)=1280
⇒2a+19(20)=128
⇒a=−126 [1 mark]
We know that the nth term of the AP is given by
an=a+(n−1)d.
∴a4=a+(4−1)d
=−126+(3×20)
=−66
Thus, the 4th term of the AP is -66. [1 mark]