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ARITHMETIC A sequence of numbers in which the difference of PROGRESSION =F two adjacent terms is constant. AP. Ex. 4,7, 10, 13, 16,... (common difference = 3) Elements: # = first term @, = nih term |; @m = any term before a, ae mumon difference mh mm wee Seoam of altheterm” we n” term of AP. ase, +(n- Id OF te a, + (m= md ‘Sum of n terms " of AP, $= F(a, +4.) or s* Flze, sr-1)4] GEOMETRIC A sequence of numbers in which the ratio of any two PROGRESSION adjacent terms is constant. GP. Ex. 2, 6, 18, 54, ... (common ratio, r = 3) n” term of G.P, a, = a, r°* of a, = 0,9" Common ratio, r= x = a a, Sum of n terms of GP. when r>1 ) when r<1 HARMONIC A sequence of numbers in which their reciprocals PROGRESSION = forms an Anithmene Progression. Suamie Find the 12* term of the series 6, 3,2. Selatan Their reciprocals are: 1/6; 1/3; % which forms an AP with acommon difference ¢ of 1/6. In. AP. the 12% term is: aa" 1/64 (12-1)0/) = 2 Therefore, in H_P. the 12* term is Vs