yashddsy5705 yashddsy5705
  • 17-05-2022
  • Mathematics
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27. The fifth and thirteenth terms of an arithmetic sequence are 5 and 77 , respectively. Find the first term and the tenth term.

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mackenziegraboske
mackenziegraboske mackenziegraboske
  • 18-05-2022

Answer:

if the first term is 13, the second will be 13+x, the third 13+2x and so on, the tenth term will be 13+9x=40 9x = 27 x = 3 so the difference between the terms is 3 the sum of the first 10 terms is 13*10 + (x+2x+…+9x) = 130 + 45x = 130 + 45*3 = 130 + 135 = 265

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