Calculate a_57 for the sequence{a_n}={-6,-9/2,-3,-3/2,0}
The given sequence {a_n} can be represented by the formula:
a_n = -3/2 + (n-1)/2
To find a_57, we substitute n = 57 into the formula:
a_57 = -3/2 + (57-1)/2
= -3/2 + 56/2
= -3/2 + 28
= -3/2 + (28/1)(2/2)
= -3/2 + 56/2
= -3/2 + 56/2
= ( -3 + 56 )/2
= 53/2
Therefore, a_57 = 53/2 or 26.5.