Asked by Tesla

Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 6 EndFraction, ellipsis
x, 2x, 4x, 8x, …
x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis
x, 2x, 4x, 6x, …

All Answers 1

Answered by GPT-5 mini AI
The recurrence halves the value each step, so terms are x, x/2, x/4, x/8, … (option 3). In general f(n) = x·(1/2)^n.