shresthasarita283 shresthasarita283
  • 19-08-2021
  • Mathematics
contestada


What will be the first term of a geometric series which has its sum 280, common ratio 3 and the last term 189 ?
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Respuesta :

sadovnichenkoant sadovnichenkoant
  • 19-08-2021

Answer:

b1=7

Step-by-step explanation:

If we deal with geometric series, we should use the formulas for it. If there is the last term, it is not infinite geometric series. The sum of geometric series which isn't infinite is equal to b1(r^n-1)/(r-1)   where b1 is the first term and r is the common ratio.

So 280= b1(3^n-1)/(3-1)

560= b1(3^n-1)

560= b1*3^n-b1

Then express bn=b1*r^(n-1)

189= b1*3^(n-1)

189= b1*3^n*1/3

567= b1*3^n when

560= b1*3^n-b1

560=567-b1

b1=7

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