TPA SBMPTN 2014 (2)

1.  120 30 10 5 …

A. 1

B. 2

C. 3

D. 4

E. 5

PEMBAHASAN :

u₁ = 120

u₂ = u₁ : 4 = 30

u₃ = u₂ : 3 = 10

u₄ = u₃ : 2 = 5

u₅ = u₄ : 1 = 5

JAWABAN : E

2.  2 3 5 9 17 …

A. 23

B. 27

C. 33

D. 34

E. 40

PEMBAHASAN :

u₁ = 2

u₂ = u₁ + 1 = 3

u₃ = u₂ + 2 = 5

u₄ = u₃ + 4 = 9

u₅ = u₄ + 8 = 17

u₆ = u₅ + 16 = 33

JAWABAN : C

3.  100 6 90 18 80 …

A. 36

B. 45

C. 48

D. 54

E. 72

PEMBAHASAN :

u₁ = 100

u₃ = u₁ – 10 = 90

u₅ = u₃ – 10 = 80

u₂ = 6

u₄ = u₂ x 3 = 18

u₆ = u₄ x 3 = 54

JAWABAN : D

4.  1 1 1 2 1 4 1 …

A. 1

B. 2

C. 4

D. 8

E. 12

PEMBAHASAN :

u₁ = u₃ = u₅ = u₇ = 1 (konstan)

u₂ = 1

u₄ = u₂ x 2 = 2

u₆ = u₄ x 2 = 4

u₈ = u₆ x 2 = 8

JAWABAN : D

5.  0.5  2.5 1  7.5  3  22.5  12 …

A. 34.5

B. 60

C. 60.5

D. 67

E. 67.5

PEMBAHASAN :

u₁ = 0.5

u₃ = u₁ x 2 = 1

u₅ = u₃ x 3 = 3

u₇ = u₅ x 4 = 12

u₂ = 2.5

u₄ = u₂ x 3 = 7.5

u₆ = u₄ x 3 = 22.5

u₈ = u₆ x 3 = 67.5

JAWABAN :  E

6.  10, 24, 38, 52, …

A. 54

B. 56

C. 60

D. 64

E. 66

PEMBAHASAN :

u₁ = 10

u₂ = u₁ + 14 = 24

u₃ = u₂ + 14 = 38

u₄ = u₃ + 14 = 52

u₅ = u₄ + 14 = 66

JAWABAN : E

7.  7, 3, 14, 6, 21, 9, …

A. 30

B. 28

C. 27

D. 25

E. 24

PEMBAHASAN :

u₁ = 7

u₃ = u₁ + 7 = 14

u₅ = u₃ + 7 = 21

u₇ = u₅ + 7 = 28

JAWABAN : B

8.  1, 1, 4, 5, 7, 9, 10, …

A. 12

B. 13

C. 14

D. 15

E. 16

PEMBAHASAN :

u₁ = 1

u₃ = u₁ + 3 = 4

u₅ = u₃ + 3 = 7

u₇ = u₅ + 3 = 10

u₂ = 1

u₄ = u₂ + 4 = 5

u₆ = u₄ + 4 = 9

u₈ = u₆ + 4 = 13

JAWABAN : B

9.  2, 2, 4, 5, 7, 8, 11, …

A. 9

B. 10

C. 11

D. 12

E. 13

PEMBAHASAN :

u₁ = 2

u₃ = u₁ + 2 = 4

u₅ = u₃ + 3 = 7

u₇ = u₅ + 4 = 11

u₂ = 2

u₄ = u₂ + 3 = 5

u₆ = u₄ + 3 = 8

u₈ = u₆ + 3 = 11

JAWABAN : C

10. 6, 12, 13, 18, 27, 30, 48, …

A. 48

B. 50

C. 52

D. 54

E. 56

PEMBAHASAN :

u₁ = 6

u₃ = u₁ + 7 = 13

u₅ = u₃ + 14 = 27

u₇ = u₅ + 21 = 48

u₂ = 12

u₄ = u₂ + 6 = 18

u₆ = u₄ + 12 = 30

u₈ = u₆ + 18 = 48

JAWABAN : A

11. 3, 4, 9, 8, 21, 16, 39, 28, …

A. 63

B. 54

C. 48

D. 34

E. 30

PEMBAHASAN :

u₁ = 3

u₃ = u₁ x 3 = 9

u₅ = u₁ x 7 = 21

u₇ = u₁ x 13 = 39

u₇ = u₁ x 21 = 63

JAWABAN : A

12. 47, 46, 45, 31, 30, 29, 28, 14, …

A. 13

B. 16

C. 19

D. 21

E. 24

PEMBAHASAN :

u₁ = 47

u₂ = u₁ – 1 = 45

u₃ = u₂ – 1 = 27

u₄ = 31

u₅ = u₄ – 1 = 30

u₆ = u₅ – 1 = 29

u₇ = u₆ – 1 = 28

u₈ = 14

u₉ = u₇ – 1 = 13

JAWABAN : A

13. 9, 9, 15, 16, 21, 25, 27, …

A. 32

B. 33

C. 34

D. 35

E. 36

PEMBAHASAN :

u₁ = 9

u₃ = u₁ + 6 = 15

u₅ = u₃ + 6 = 21

u₇ = u₅ + 6 = 27

u₂ = 9

u₄ = u₂ + 7 = 16

u₆ = u₄ + 9 = 25

u₈ = u₆ + 11 = 36

JAWABAN : E

14. 95, 77, 61, 47, …

A. 32

B. 34

C. 35

D. 36

E. 38

PEMBAHASAN :

u₁ = 95

u₂ = u₁ – 18 = 77

u₃ = u₂ – 16 = 61

u₄ = u₃ – 14 = 47

u₅ = u₄ – 12 = 35

JAWABAN : C

15. 3, 6, 12, 21, …

A. 33

B. 34

C. 35

D. 36

E. 37

PEMBAHASAN :

u₁ = 3

u₂ = u₂ + 3 = 6

u₃ = u₂ + 6 = 9

u₄ = u₃ + 9 = 21

u₅ = u₄ + 12 = 33

JAWABAN :

16., , , ,

A.

B.

C.

D.

E.

PEMBAHASAN :

u₁ =

u₂ = u₁ + = =

u₃ = u₂ + =

u₄ = u₃ + = 1

u₅ = u₄ + =

JAWABAN : D

NOTE : silahkan dikoreksi dan berikan komentar jika ada kesalahan atau masih ada keambiguan dalam penyelesaian soal-soal ini.