What is the 30th term in a sequence given by the explicit function A(n) = -1 + (n – 1)2?
A. -57
B. -1
C. 57
D. 63
A(30) = -1 + (30 - 1) 2
To find the 30th term in the given sequence with the explicit function A(n) = -1 + (n – 1)2, we substitute n = 30 into the formula and solve for A(30).
A(30) = -1 + (30 – 1)2
= -1 + (29)2
= -1 + 841
= 840
Therefore, the 30th term in the sequence is 840.
None of the provided options (A, B, C, D) match the calculated result.