Question

продолжите ряд 2,5,9,16,27,45,74,121,197

Answer 1

Ответ:

  Продолжите ряд 2, 5, 9, 16, 27, 45, 74, 121, 197 , 519, 841

Пошаговое объяснение:

  a + b = c + 2 = d

  b + d = e + 2 = f

  d + f = g + 2 = h

  ....

$197 - 121 = 76-2 = 74\\121 - 74 = 47 - 2 = 45\\74 - 45 = 29-2 = 27\\45 - 27=18-2 = 16\\27 - 16 = 11-2=9\\16-9=7-2=5\\9-5=4-2=2$

$2+5=7+2=9\\5+9=14+2=16\\9+16 = 25+2=27\\16+27=43+2=45\\27+45=72+2=74\\45+74=119+2=121\\74+121=195+2=197\\121+197=318+2=320\\197+320=517+2=519\\320+519=839+2=841\\...$

Answer 2

2,5,9,16,27,45,74,121,197........

этот ряд a(n) = a(n-1) + a(n-2) + 2

a1 = 2

a2 = 5

a3 = 9

a4 = 16

.......

a1 + a2 + 2 = 2 + 5 + 2 = 9 = a3

a2 + a3 + 2 = 5 + 9 + 2 = 16 = a4  

a3 + a4 + 2 = 9 + 16 + 2 = 27 = a5

…

121 + 197 + 2 = 320

197 + 320 + 2 = 519

ответ ..., 320, 519, ....

Ответ: 2;5;9;16;27;45;74;121;197; 320; 519...