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Question Number 11399 by tawa last updated on 23/Mar/17

$$\mathrm{The}\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{first}\mathrm{and}\mathrm{last}\mathrm{term}\mathrm{of}\mathrm{an}\mathrm{A}.\mathrm{P}\mathrm{is}51.\mathrm{And}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{the}$$$$\mathrm{progression}\mathrm{is}255.\mathrm{Find}\mathrm{the}\mathrm{last}\mathrm{term}\mathrm{of}\mathrm{the}\mathrm{A}.\mathrm{P}.$$

Answered by ajfour last updated on 23/Mar/17

$$\mathrm{last}\mathrm{term}=\frac{1}{2}(51+9\mathrm{d})$$$$\mathrm{where}\mathrm{d}\mathrm{is}\mathrm{whatever}\mathrm{common}$$$$\mathrm{diffeeence}\mathrm{you}\mathrm{choose}..$$$$\mathrm{number}\mathrm{of}\mathrm{terms}\mathrm{n}=10$$$$\mathrm{The}\mathrm{first}\mathrm{term}\mathrm{a}=\frac{1}{2}(51-9\mathrm{d})$$

Commented by tawa last updated on 24/Mar/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$$$$$

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