Question

(A)15 termos da PA(5,9,13,...) (B)36 termos da PA(17,11,5,...) (C)5 termos da PA(3,11,19,...) (D)10 termos da PA(-8,-5-2,...) (E)12 termos da PA(-3,4,11,...)

Answer 1

Resposta:

(A)15 termos da PA(5,9,13,...)

razão (r) = 4

termo 1 (t1) = 5

termo 2 (t2) = t1 + r = 5 + 4 = 9

termo 3 (t3) = t2 + r = 9 + 4 = 13

termo 4 (t4) = t3 + r = 13 + 4 = 17

termo 5 (t5) = t4 + r = 17 + 4 = 21

termo 6 (t6) = t5 + r = 21 + 4 = 25

termo 7 (t7) = t6 + r = 25 + 4 = 29

termo 8 (t8) = t7 + r = 29 + 4 = 33

termo 9 (t9) = t8 + r = 33 + 4 = 37

termo 10 (t10) = t9 + r = 37 + 4 = 41

termo 11 (t11) = t10 + r = 41 + 4 = 45

termo 12 (t12) = t11 + r = 45 + 4 = 49

termo 13 (t13) = t12 + r = 49 + 4 = 53

termo 14 (t14) = t13 + r = 53 + 4 = 57

termo 15 (t15) = t14 + r = 57 + 4 = 61

(B)36 termos da PA(17,11,5,...)

razão (r) = -6

termo 1 (t1) = 17

termo 2 (t2) = t1 + r = 17 + (-6) = 11

termo 3 (t3) = t2 + r = 11 + (-6) = 5

termo 4 (t4) = t3 + r = 5 + (-6) = -1

termo 5 (t5) = t4 + r = -1 + (-6) = -7

termo 6 (t6) = t5 + r = -7 + (-6) = -13

termo 7 (t7) = t6 + r = -13 + (-6) = -19

termo 8 (t8) = t7 + r = -19 + (-6) = -25

termo 9 (t9) = t8 + r = -25 + (-6) = -31

termo 10 (t10) = t9 + r = -31 + (-6) = -37

termo 11 (t11) = t10 + r = -37 + (-6) = -43

termo 12 (t12) = t11 + r = -43 + (-6) = -49

termo 13 (t13) = t12 + r = -49 + (-6) = -55

termo 14 (t14) = t13 + r = -55 + (-6) = -61

termo 15 (t15) = t14 + r = -61 + (-6) = -67

termo 16 (t16) = t15 + r = -67 + (-6) = -73

termo 17 (t17) = t16 + r = -73 + (-6) = -79

termo 18 (t18) = t17 + r = -79 + (-6) = -85

termo 19 (t19) = t18 + r = -85 + (-6) = -91

termo 20 (t20) = t19 + r = -91 + (-6) = -97

termo 21 (t21) = t20 + r = -97 + (-6) = -103

termo 22 (t22) = t21 + r = -103 + (-6) = -109

termo 23 (t23) = t22 + r = -109 + (-6) = -115

termo 24 (t24) = t23 + r = -115 + (-6) = -121

termo 25 (t25) = t24 + r = -121 + (-6) = -127

termo 26 (t26) = t25 + r = -127 + (-6) = -133

termo 27 (t27) = t26 + r = -133 + (-6) = -139

termo 28 (t28) = t27 + r = -139 + (-6) = -145

termo 29 (t29) = t28 + r = -145 + (-6) = -151

termo 30 (t30) = t29 + r = -151 + (-6) = -157

termo 31 (t31) = t30 + r = -157 + (-6) = -163

termo 32 (t32) = t31 + r = -163 + (-6) = -169

termo 33 (t33) = t32 + r = -169 + (-6) = -175

termo 34 (t34) = t33 + r = -175 + (-6) = -181

termo 35 (t35) = t34 + r = -181 + (-6) = -187

termo 36 (t36) = t35 + r = -187 + (-6) = -193

(C)5 termos da PA(3,11,19,...)

razão (r) = 8

termo 1 (t1) = 3

termo 2 (t2) = t1 + r = 3 + 8 = 11

termo 3 (t3) = t2 + r = 11 + 8 = 19

termo 4 (t4) = t3 + r = 19 + 8 = 27

termo 5 (t5) = t4 + r = 27 + 8 = 35

(D)10 termos da PA(-8,-5-2,...)

razão (r) = 3

termo 1 (t1) = -8

termo 2 (t2) = t1 + r = -8 + 3 = -5

termo 3 (t3) = t2 + r = -5 + 3 = -2

termo 4 (t4) = t3 + r = -2 + 3 = 1

termo 5 (t5) = t4 + r = 1 + 3 = 4

termo 6 (t6) = t5 + r = 4 + 3 = 7

termo 7 (t7) = t6 + r = 7 + 3 = 10

termo 8 (t8) = t7 + r = 10 + 3 = 13

termo 9 (t9) = t8 + r = 13 + 3 = 16

termo 10 (t10) = t9 + r = 16 + 3 = 19

(E)12 termos da PA(-3,4,11,...)

razão (r) = 7

termo 1 (t1) = -3

termo 2 (t2) = t1 + r = -3 + 7 = 4

termo 3 (t3) = t2 + r = 4 + 7 = 11

termo 4 (t4) = t3 + r = 11 + 7 = 18

termo 5 (t5) = t4 + r = 18 + 7 = 25

termo 6 (t6) = t5 + r = 25 + 7 = 32

termo 7 (t7) = t6 + r = 32 + 7 = 39

termo 8 (t8) = t7 + r = 39 + 7 = 46

termo 9 (t9) = t8 + r = 46 + 7 = 53

termo 10 (t10) = t9 + r = 53 + 7 = 60

termo 11 (t11) = t10 + r = 60 + 7 = 67

termo 12 (t12) = t11 + r = 67 + 7 = 74