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

Answer Link

Otras preguntas

Which place is most apt to experience a tsunami either New Jersey, Alaska, Africa, or England?
Is a whelk a omnivore carnivore or herbivore?
what is 1/8 of a 100
50 POINTS!!!! A company makes cylindrical cans for peaches. Each can has a radius of 4 centimeters and a height of 12 centimeters. The company plans to increase
How do you express 68,070,000,000,000 in Scientific Notation?
What the adverb in this sentence? See how he skillfully maneuvers the charging bull by moving the red cape.
What is twenty five times three?
Which statement about the Sacco-Vanzetti trial of 1921 is true? A. Many people believed they were convicted solely because they were anarchists. B. The evidence
Why should scientist avoid bias during experiments?
The circle below is centered at the point (1, 2) and has a radius of length 2. What is its equation?