Ответ:
1) n = 26;
2)d = 44/17 = 2 10/17,
c(27) = 91 5/17,
s(10) = 356 8/17,
s(5-10) = 244 16/17
Объяснение:
1) x(n)=x(1)+d*(n-1)
39 = 6,5+1,3*(n-1), n—?
39—6,5 = 1,3(n-1)
32,5=1,3(n-1)
n-1=32,5/1,3
n-1=25
n=25+1
n=26
2) c(18)=c(1)+(18-1)*d
68=24+17d
68-24 = 17d
44 = 17d
d = 44/17 = 2 10/17
с(27)=с(1)+(27-1)*d=c(1)+26*d=
=24 + 26*44/17 = 24 + 1144/17=
=24 + 67 + 5/17 = 91 5/17
s(10)=(c(1)+c(10))*(10-1+1)/2=
=(c(1)+c(1)+(10-1)*d)*5=
=10c(1) + 45*d=
=10*24 + 45*44/17=
=240 + 1980/17 = 240 + 116 + 8/17=
=356 8/17
s(5-10) = (c(5)+c(10))*(10-5+1)/2=
=(c(5)+c(10))*3=
=(c(1)+4*d+c(1)+9*d)*3=
=6c(1)+39d=
=6*24+39*44/17=
=144 + 1716/17 = 144 + 100 + 16/17 =
=244 + 16/17 = 244 16/17
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Answers & Comments
Ответ:
1) n = 26;
2)d = 44/17 = 2 10/17,
c(27) = 91 5/17,
s(10) = 356 8/17,
s(5-10) = 244 16/17
Объяснение:
1) x(n)=x(1)+d*(n-1)
39 = 6,5+1,3*(n-1), n—?
39—6,5 = 1,3(n-1)
32,5=1,3(n-1)
n-1=32,5/1,3
n-1=25
n=25+1
n=26
2) c(18)=c(1)+(18-1)*d
68=24+17d
68-24 = 17d
44 = 17d
d = 44/17 = 2 10/17
с(27)=с(1)+(27-1)*d=c(1)+26*d=
=24 + 26*44/17 = 24 + 1144/17=
=24 + 67 + 5/17 = 91 5/17
s(10)=(c(1)+c(10))*(10-1+1)/2=
=(c(1)+c(1)+(10-1)*d)*5=
=10c(1) + 45*d=
=10*24 + 45*44/17=
=240 + 1980/17 = 240 + 116 + 8/17=
=356 8/17
s(5-10) = (c(5)+c(10))*(10-5+1)/2=
=(c(5)+c(10))*3=
=(c(1)+4*d+c(1)+9*d)*3=
=6c(1)+39d=
=6*24+39*44/17=
=144 + 1716/17 = 144 + 100 + 16/17 =
=244 + 16/17 = 244 16/17