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Question Number 192450 by Mastermind last updated on 18/May/23

$$\mathrm{The}\mathrm{first}\mathrm{term}\mathrm{of}\mathrm{an}\mathrm{arithmetic}\mathrm{series}$$$$\mathrm{is}7\mathrm{and}\mathrm{the}\mathrm{last}\mathrm{is}70.\mathrm{and}\mathrm{the}\mathrm{sum}\mathrm{is}$$$$385.\mathrm{find}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{terms}\mathrm{in}\mathrm{the}$$$$\mathrm{series}\mathrm{and}\mathrm{its}\mathrm{common}\mathrm{difference}.$$

Answered by deleteduser1 last updated on 18/May/23

$$\frac{n\left(77\right)}{2}=385\Rightarrow n=10;7+9d=70\Rightarrow d=7$$

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