(From1, Lesson 5.)4.Write the first five terms of each sequence.a. a(1) = 1, a(n) = 3 • a(n – 1), n > 2b. b(1) = 1, b(n) =- 2+ b(n – 1), n > 2C. C(1) = 1, c(n) = 2 • c(n – 1) +1, n2 2d. d(1) = 1, d(n) = d(n – 1)² + 1 , n 2 2e. f(1) = 1, f(n) = f(n – 1) + 2n – 2, n 2 2(From Unit 1, Lesson 5.).

Name: (From1, Lesson 5.)4.Write the first five terms of each sequence.a. a(
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: (From1, Lesson 5.)4.Write the first five terms of each sequence.a. a(1) = 1, a(n) = 3 • a(n – 1), n > 2b. b(1) = 1, b(n) =- 2+ b(n – 1), n > 2C. C(1) = 1, c(n) = 2 • c(n – 1) +1, n2 2d. d(1) = 1, d(n) = d(n – 1)² + 1 , n 2 2e. f(1) = 1, f(n) = f(n –

As per bartleby guidelines for more than 3 subparts only first three are to be answered please upload the others separately. (a) Consider a1=1, the nth term is a(n)=3an-1 where n≥2. The second term of the sequence is, a2=3a2-1=31=3 The third term of the sequence is, a3=3a3-1=3a2=33=9 The fourth term of the sequence is, a4=3a4-1=3a3=39=27 The fifth term of the sequence is, a5=3a5-1=3a4=327=81(b) Consider b1=1, the nth term is b(n)=-2+bn-1 where n≥2. The second term of the sequence is, b(2)=-2+b2-1=-2+b1=-2+1=-1 The third term of the sequence is, b(3)=-2+b3-1=-2+b2=-2-1=-3 The fourth term of the sequence is, b(4)=-2+b4-1=-2+b3=-2-3=-5 The fifth term of the sequence is, b(5)=-2+b5-1=-2+b4=-2-5=-7(c) Consider c1=1, the nth term is c(n)=2cn-1+1 where n≥2. The second term of the sequence is, c(2)=2c2-1+1=2c1+1=21+1=3 The third term of the sequence is, c(3)=2c3-1+1=2c2+1=23+1=7 The fourth term of the sequence is, c(4)=2c4-1+1=2c3+1=27+1=15 The fifth term of the sequence is, c(5)=2c5-1+1=2c4+1=215+1=31