reciprocate

To give or take mutually; interchange.

To show, feel, or give in response or return.

To give and take something mutually.

To make a return for something given or done.

To move back and forth alternately.

In mathematics, to take the reciprocal of.

To cause to move back and forth; give an alternating motion to.

To give and return mutually; yield or perform each to each; interchange: as, to reciprocate favors.

To give or do in response; yield a return of; requite correspondingly.

To move backward and forward; have an alternating movement; act interchangeably; alternate.