Write the first four terms of the sequence whose general term is given.
-$$a _ { n } = \left( - \frac { 1 } { 4 } \right) ^ { n }$$
A) $- \frac { 1 } { 4 } , \frac { 1 } { 16 } , - \frac { 1 } { 64 } , \frac { 1 } { 256 }$
B) $- \frac { 1 } { 4 } , - \frac { 1 } { 16 } , - \frac { 1 } { 64 } , - \frac { 1 } { 256 }$
C) $\mathrm- \frac { 1 } { 4 } , \frac { 1 } { 8 } , - \frac { 1 } { 12 } , - \frac { 1 } { 16 }$
D) $\frac { 1 } { 4 } , - \frac { 1 } { 8 } , \frac { 1 } { 12 } , - \frac { 1 } { 16 }$

Question

Quizplus · Accepted Answer

Plug in the values of $n$ to find the first few terms: $$a_1=-\frac{1}{4}, \quad a_2=\left(-\frac{1}{4}ight)^2=\frac{1}{16}, \quad a_3=\left(-\frac{1}{4}ight)^3=-\frac{1}{64}, \quad a_4=\left(-\frac{1}{4}ight)^4=\frac{1}{256}.$$ Thus, the correct answer is $\boxed{	extbf{(A)}}.$

Write the First Four Terms of the Sequence Whose General an=(−14)na _ { n } = \left( - \frac { 1 } { 4 } \right) ^ { n }an​=(−41​)n

Write the First Four Terms of the Sequence Whose General $a _ { n } = \left( - \frac { 1 } { 4 } \right) ^ { n }$