Respuestas
Respuesta:
:)
Explicación paso a paso:
Quiero pensar por tu explicación que necesitas los primeros 20 términos de las series sustituyendo el valor de n en cada una de las ecuaciones con los valores del 1 al 20 .
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INCISO A)
15-3n
15-3(1) = 15-3 = 12
15 - 3(2) = 15-6 = 9
15 - 3(3) = 15-9 = 6
15 - 3(4) = 15 - 12 = 3
15 - 3(5) = 15 - 15 = 0
15 - 3(6) = 15 - 18 = -3
15 - 3(7) = 15 - 21 = -6
15 - 3(8) = 15 - 24 = -9
15 - 3(9) = 15 - 27 = -12
15 - 3(10) = 15 - 30 = -15
15 - 3(11) = 15 - 33 = -18
15 - 3(12) = 15 - 36 = -21
15 - 3(13) = 15 - 39 = -24
15 - 3(14) = 15 - 42 = -27
15 - 3(15) = 15 - 45 = -30
15 - 3(16) = 15 - 48 = -33
15 - 3(17) = 15 - 51 = -36
15 - 3(18) = 15 - 54 = -39
15 - 3(19) = 15 - 57 = -42
15 - 3(20) = 15 - 60 = -45
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INCISO B)
n(n-1)(n-2) + 2n
1(1-1)(1-2) + 2(1) = 1(0)(-1) + 2(1) = 2
2(2-1)(2-2) + 2(2) = 2(1)(0) + 4 = 4
3(3-1)(3-2) + 2(3) = 3(2)(1) + 6 = 6 + 6 = 12
4(4-1)(4-2) + 2(4) = 4(3)(2) + 8 = 24 + 8 = 32
5(5-1)(5-2) + 2(5) = 5(4)(3) + 10 = 60 + 10 = 70
6(6-1)(6-2) + 2(6) = 6(5)(4) + 12 = 120 + 12 = 132
7(7-1)(7-2) + 2(7) = 7(6)(5) + 14 = 210 + 14 = 224
8(8-1)(8-2) + 2(8) = 8(7)(6) + 16 = 336 + 16 = 352
9(9-1)(9-2) + 2(9) = 9(8)(7) + 18 = 504 + 18 = 522
10(10-1)(10-2) + 2(10) = 10(9)(8) + 20 = 720 + 20 = 740
11(11-1)(11-2) + 2(11) = 11(10)(9) + 22 = 990 + 22 = 1,012
12(12-1)(12-2) + 2(12) = 12(11)(10) + 24 = 1,320 + 24 = 1,344
13(13-1)(13-2) + 2(13) = 13(12)(11) + 26 = 1,716 + 26 = 1,742
14(14-1)(14-2) + 2(14) = 14(13)(12) + 28 = 2,184 + 28 = 2,212
15(15-1)(15-2) + 2(15) = 15(14)(13) + 30 = 2,730 + 30 = 2,760
16(16-1)(16-2) + 2(16) = 16(15)(14) + 32 = 3,360 + 32 = 3,392
17(17-1)(17-2) + 2(17) = 17(16)(15) + 34 = 4,080 + 34 = 4,114
18(18-1)(18-2) + 2(18) = 18(17)(16) + 36 = 4,896 + 36 = 4,932
19(19-1)(19-2) + 2(19) = 19(18)(17) + 38 = 5,814 + 38 = 5,852
20(20-1)(20-2) + 2(20) = 20(19)(18) + 40 = 6,840 + 40 = 6,880
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INCISO C)
5n²
5(1)(1) = 5
5(2)(2) = 20
5(3)(3) = 45
5(4)(4) = 80
5(5)(5) = 125
5(6)(6) = 180
5(7)(7) = 245
5(8)(8) = 320
5(9)(9) = 405
5(10)(10) = 500
5(11)(11) = 605
5(12)(12) = 720
5(13)(13) = 845
5(14)(14) = 980
5(15)(15) = 1,125
5(16)(16) = 1,280
5(17)(17) = 1,445
5(18)(18) = 1,620
5(19)(19) = 1,805
5(20)(20) = 2000
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INCISO D)
2n - 7
2(1) - 7 = 2 - 7 = -5
2(2) - 7 = 4 - 7 = -3
2(3) - 7 = 6 - 7 = -1
2(4) - 7 = 8 - 7 = 1
2(5) - 7 = 10 - 7 = 3
2(6) - 7 = 12 - 7 = 5
2(7) - 7 = 14 - 7 = 7
2(8) - 7 = 16 - 7 = 9
2(9) - 7 = 18 - 7 = 11
2(10) - 7 = 20 - 7 = 13
2(11) - 7 = 22 - 7 = 15
2(12) - 7 = 24 - 7 = 17
2(13) - 7 = 26 - 7 = 19
2(14) - 7 = 28 - 7 = 21
2(15) - 7 = 30 - 7 = 23
2(16) - 7 = 32 - 7 = 25
2(17) - 7 = 34 - 7 = 27
2(18) - 7 = 36 - 7 = 29
2(19) - 7 = 38 - 7 = 31
2(20) - 7 = 40 - 7 = 33
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INCISO E)
-3n - 5
-3(1) - 5 = -3 - 5 = -8
-3(2) - 5 = -6 - 5 = -11
-3(3) - 5 = -9 - 5 = -14
-3(4) - 5 = -12 - 5 = -17
-3(5) - 5 = -15 - 5 = -20
-3(6) - 5 = -18 - 5 = -23
-3(7) - 5 = -21 - 5 = -26
-3(8) - 5 = -24 - 5 = -29
-3(9) - 5 = -27 - 5 = -32
-3(10) - 5 = -30 - 5 = -35
-3(11) - 5 = -33 - 5 = -38
-3(12) - 5 = -36 - 5 = -41
-3(13) - 5 = -39 - 5 = -44
-3(14) - 5 = -42 - 5 = -47
-3(15) - 5 = -45 - 5 = -50
-3(16) - 5 = -48 - 5 = -53
-3(17) - 5 = -51 - 5 = -56
-3(18) - 5 = -54 - 5 = -59
-3(19) - 5 = -57 - 5 = -62
-3(20) - 5 = -60 - 5 = -65