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Explicit and Recursive Sequences Mastery Check What is the 1st term of the sequence? 10, 20, 30, 40, . . . 30 20 10 0
A) -5 B) 15 C) 0 D) 5 For the following sequence determine the common difference. 1, 5, 9, 13, . . . 17 4 1 -4 For the following sequence determine the NEXT three terms. 1, 5, 9, 13, . . . 17, 20, 23 17, 21, 25 29, 33, 37 1, 5, 13 the common difference {-10, -5, 0, 5...} For the following sequence determine -10 5 10 -5 For the following sequence determine the nth term. -10, -5, 0, 5 -10 - 5n -10 - (n - 1)5 -10 + 5n -10 + (n - 1)5 For the following sequence determine the nth term. 28, 36, 44, 52, . . . 28 + 8n 28 - 8n 28 + (n - 1)8 28 - (n - 1)8 The recursive formula for a sequence represented by f(n) is given: Find f(2) and f(3) f(2) = f(3) = f(1) = 9 f(n) = f(n – 1) – 4 The recursive formula for a sequence represented by f(n) is given: Find f(2), f(3), f(4) f(4) = f(3) = f(2) = f(1) = -5 f(n) = 2 × f(n – 1) Write a recursive formula to show the nth term. A sequence of numbers is given. {625, 125, 25, 5, ...} f(n) = f(n – 1) × 5 f(n) = f(n + 1) ÷ 5 f(n) = f(n + 2) × 5 f(n) = f(n – 1) ÷ 5 |