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A8 = 154 next three terms are 114, 134, 154 4. 7, 2, -3, -8, -13, -18,... 5. 15, 11, 7, 3, -1, -5, -9, ...

A8 = 154 next three terms are 114, 134, 154 4. 7, 2, -3, -8, -13, -18,... 5. 15, 11, 7, 3, -1, -5, -9, ...

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.2: Arithmetic Sequences
Problem 2E
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NOTE; answer items 4-5 only.
ACTIVITY 3 Arithmetic Sequence I. Find the next three terms in each sequence. an=an-1 +d 1. 18, 11, 4, ... common difference = d = 11-18 = -7 a4 = 4 + (-7)= - 3 a5= -3 + (-7)= - 10 a6= 10 + (-7)=-17 next three terms are -3, -10,-17 2. 23, 18, 13, 8, 3, ... common difference d = 18-13 = -5 A6= ª₁ + d = 3 + (-5) = - 2 a7 - 2 + (-5) = -7 A8 = -7 + (-5) = - 12 next three terms are -2,-7, -12 3. 14, 34, 54, 74, 94, ... d = common difference = 34-14 = 20 a6 94 + 20 = 114 a>= 114 + 20 = 134 as 134 + 20 = 154 next three terms are 114, 134, 154 4. 7, 2, -3, -8, -13, -18,... 5. 15, 11, 7, 3, −1, −5, −9, ...
Transcribed Image Text:ACTIVITY 3 Arithmetic Sequence I. Find the next three terms in each sequence. an=an-1 +d 1. 18, 11, 4, ... common difference = d = 11-18 = -7 a4 = 4 + (-7)= - 3 a5= -3 + (-7)= - 10 a6= 10 + (-7)=-17 next three terms are -3, -10,-17 2. 23, 18, 13, 8, 3, ... common difference d = 18-13 = -5 A6= ª₁ + d = 3 + (-5) = - 2 a7 - 2 + (-5) = -7 A8 = -7 + (-5) = - 12 next three terms are -2,-7, -12 3. 14, 34, 54, 74, 94, ... d = common difference = 34-14 = 20 a6 94 + 20 = 114 a>= 114 + 20 = 134 as 134 + 20 = 154 next three terms are 114, 134, 154 4. 7, 2, -3, -8, -13, -18,... 5. 15, 11, 7, 3, −1, −5, −9, ...
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