Answer:
-21
Step-by-step explanation:
Given the sum of the first n term as;
Sn = 2 - 7n^2
The nth term is expressed as;
Tn = Sn - Sn-1
Sn-1 = 2 - 7(n-1)^2
Tn = 2 - 7n^2 - (2 - 7(n-1)^2)
Tn = -7n^2 + 7(n-1)^2
To get the second term, we will substitute n = 2 into the resulting expression
T2 = -7(2)^2 + 7(2-1)^2
T2 = -7(4)+7(1)^2
T2 = -28 + 7
T2 = -21
Hence the second term of the sequence is -21