1. W Ciągu arytmetycznym a1 = 1 i a 100= 1-90.
Oblicz S 100 i r
Jezeli to jest a1 = 1 i a100 = 1090,
wtedy
a100 = a1 + 99 * r
99 * r = a100 - a1 = 1089, wiec r = 11
S100 = a1 + a2 + ... + a99 + a100 = a1 + a100 + a2 + a99 + ...+ a50 + a51 = 50 * 1091 = 54550
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Jezeli to jest a1 = 1 i a100 = 1090,
wtedy
a100 = a1 + 99 * r
99 * r = a100 - a1 = 1089, wiec r = 11
S100 = a1 + a2 + ... + a99 + a100 = a1 + a100 + a2 + a99 + ...+ a50 + a51 = 50 * 1091 = 54550