iheakamebuka iheakamebuka
  • 25-11-2020
  • Mathematics
contestada

The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 03-12-2020

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775

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