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Progresii aritmetice - exercitiu rezolvat 6

Stiind termenii progresiei aritmetice:

 C3 = 7 si C5 = 13

Sa se afle termenii C9, C2 si C15

Stiind ca C3 = 7 =>           C1 + 2r = 7   /*(-1)
Stiind ca C5 = 13 =>         C1 + 4r = 13

                                         - C1 – 2r = -7
                                            C1 + 4r = 13
                                            /       2r = 6
                                                      r = 3


C1+ 6 = 7 => C1 = 7 – 6 => C1 = 1

C9 = C1 + 8r => 1 + 8 * 3 => 1 + 24 = C9 = 25

C2 = C1 + r => 1 + 3 => C2 = 4

C15 = C1 + 14r => 1 + 14 * 3 => 1 + 42 => C15 = 43



Formule progresii aritmetice

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