4)
a(n) = a1 + d*(n - 1)
----
a(1) + a(10) = 12
a(8) - a(5) = 4
a(1) + a(1) + 9d = 12
a(1) + 7d - (a(1) + 4d) = 4
2a(1) + 9d = 12
3d = 4
d = 4/3
2*a(1) + 9*4/3 = 12
2a(1) + 12 = 12
a(1) = 0
=========
5)
x(n) = 3 + x(n - 1)
x(1) = 2
подставляем вместо х значение 2, потом 3 4 и 5
х(n) и x(n - 1) при n = 2 это x(2) и x(2 - 1) = x(1)
x(2) = 3 + x(1) = 3 + 2 = 5
x(3) = 3 + x(2) = 3 + 5 = 8
x(4) = 3 + x(3) = 3 + 8 = 11
x(5) = 3 + x(4) = 3 + 11 = 14
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Verified answer
4)
a(n) = a1 + d*(n - 1)
----
a(1) + a(10) = 12
a(8) - a(5) = 4
----
a(1) + a(1) + 9d = 12
a(1) + 7d - (a(1) + 4d) = 4
----
2a(1) + 9d = 12
3d = 4
d = 4/3
2*a(1) + 9*4/3 = 12
2a(1) + 12 = 12
a(1) = 0
=========
5)
x(n) = 3 + x(n - 1)
x(1) = 2
подставляем вместо х значение 2, потом 3 4 и 5
х(n) и x(n - 1) при n = 2 это x(2) и x(2 - 1) = x(1)
x(2) = 3 + x(1) = 3 + 2 = 5
x(3) = 3 + x(2) = 3 + 5 = 8
x(4) = 3 + x(3) = 3 + 8 = 11
x(5) = 3 + x(4) = 3 + 11 = 14