|
In this activity, you will solve problems related to writing recursive expressions for sequences. A recursive expression will generally involvef(n) for the "nth" term in the sequence, and it willrelate f(n) to the previous term, f(n – 1). The recursive formula for a sequence represented by f(n) is given: Find f(2) f(2) = 1.5 • f( – 1) f(2) = 1.5 • f( ) f(2) = 1.5 • f(2) = f(1) = 6 f(n) = 1.5 • f(n – 1) The recursive formula for a sequence represented by f(n) is given: Find f(3) f(3) = 1.5 • f( – 1) f(3) = 1.5 • f( ) f(3) = f(2) = 9 f(1) = 6 f(n) = 1.5 • f(n – 1) The recursive formula for a sequence represented by f(n) is given: Find f(2) f(2) = f( – 1) + 5 f(2) = f( ) + 5 f(2) = + 5 f(2) = f(1) = 7 f(n) = f(n – 1) + 5 The recursive formula for a sequence represented by f(n) is given: Find f(3) f(2) = 12 f(3) = f( ) + 5 f(3) = + 5 f(3) = f(1) = 7 f(n) = f(n – 1) + 5 The recursive formula for a sequence represented by f(n) is given: Find f(2) f(2) = f( ) – 3 f(2) = f( - 1) - 3 f(2) = – 3 f(2) = f(1) = 5 f(n) = f(n – 1) – 3 The recursive formula for a sequence represented by f(n) is given: Find f(3), f(4), f(5) f(2) = 2 f(4) = f(5) = f(3) = f(1) = 5 f(n) = f(n – 1) – 3 The recursive formula for a sequence represented by f(n) is given: Find f(2), f(3), f(4), f(5) f(2) = f(4) = f(3) = f(5) = f(1) = 3 f(n) = 2 • f(n – 1) Write a recursive formula to show the nth term. A sequence of numbers is given. {-5, -1, 3, 7, ...} f(n) = f(n – 1) × 5 f(n) = f(n – 1) – 4 f(n) = f(n – 1) + 4 f(n) = f(n – 1) ÷ 5 Write a recursive formula to show the nth term. A sequence of numbers is given. {1/4, 1/2, 1, 2 ...} f(n) = 2 × f(n – 1) f(n) = 1/2 × f(n – 1) f(n) = f(n – 1) + 1 f(n) = f(n – 1) + 2 |