Write an explicit formula for the sequence left-brace a subscript n baseline right-brace equals left-brace negative 3 comma negative Start Fraction 1 over 2 End Fraction comma 2 comma Start Fraction 9 over 2 End Fraction comma 7 comma ellipsis right-brace. Then find a subscript 17.
The explicit formula for the given sequence is:
aₙ = -3 + (n-1) * (1/2)
To find a₇₊₊, we substitute n = 17 into the formula:
a₁₇ = -3 + (17-1) * (1/2)
= -3 + 16 * (1/2)
= -3 + 8
= 5
Therefore, a₁₇ = 5.