The following is a (wrong) proof by induction that each nonnegative integer equals twice itself, i. e. n=2n for all integers n≥0. Base case n=0 : P(n) holds for n=0. Inductive step: let us assume that n=2n holds for some nonnegative integer n. We multiply both sides of this equation by the quantity n+1n. This yields n+1=2(n+1), which is P(n+1) . This completes the proof

Ihave, but this question is gonna probably get deleted.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )