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

what are the steps of scientific inquiry
In literature what is a subject
If the pressure of a sample of gas is doubled at constant temperature, what happens to the volume of the gas?
wich fraction is greater 2/3 or 2/6
Bill and his 10 friends are planning for a pizza party. They purchased 3 quarts of juice. If each glass holds 8 ounces will everyone get at least one glass of j
What two numbers adds to -31 and multiplies to 150
-AR verbs end in -________
magma that flows onto earths surface is called
You are renting a moving truck for a day. There is a daily fee of $20 and a charge of $0.75 per mile. Your budget alloes a maximum total cost of $65. Write and
What divided colonial society in South Carolina during the 1700s?