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2 Apr 2023•0 j'aime•2 vues

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The 1st and 2nd terms of an arithmetric sequence are a and b repectively. If the nth term is c, express n in terms of a,b and c. Solution The first and second terms of the arithmetic series are a and b, the common difference of the series is b - a. If c is the nth term c = a + (n - 1)*(b - a) = a + nb - b - na + a => n(b - a) = c + b - a => n = (c + b - a)/(b - a) The value of n in terms of a, b and c is n = (c + b - a)/(b - a).

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- 1. The 1st and 2nd terms of an arithmetric sequence are a and b repectively. If the nth term is c, express n in terms of a,b and c. Solution The first and second terms of the arithmetic series are a and b, the common difference of the series is b - a. If c is the nth term c = a + (n - 1)*(b - a) = a + nb - b - na + a => n(b - a) = c + b - a => n = (c + b - a)/(b - a) The value of n in terms of a, b and c is n = (c + b - a)/(b - a)