Asequence is defined recursively using the equation f(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

In this item, we assume that f(6) is the f(n + 1). Thus, n + 1 = 6. If we solve for the succeeding terms for this series given the first term which is 100, we get,

                 f(2) = 100 – 8 = 92

                f(3) = 92 – 8 = 84

               f(4) = 84 – 8 = 76

                f(4) = 76 – 8 = 68

                f(5) = 68 – 8 = 60

                 f(6) = 60 -8 = 52

Thus, the answer is 52. 

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 )