floatingbagels
floatingbagels floatingbagels
  • 21-03-2020
  • Mathematics
contestada

The first term of an arithmetic progression is 8. If the tenth term is double the second term, the common difference is...

Respuesta :

PollyP52 PollyP52
  • 21-03-2020

Answer:

d = 8/7.

Step-by-step explanation:

Formula for the nth term an = a1 + (n - 1)d  where a1 = the first term and d = the common difference.

Here we have:

a2 ( the second term) =  a1 + (n - 1)d

= 8 + (2 -1 )d =  d + 8.

In the same way we can show that the 10th term

a10 = 9d + 8.

But we are given that a10 = 2*a2 so:

9d + 8 = 2(d + 8)

9d + 8  = 2d + 16

7d = 8

d = 8/7.

Answer Link
amna04352
amna04352 amna04352
  • 21-03-2020

Answer:

8/7

Step-by-step explanation:

8 + (10-1)d = 2(8 + d)

8 + 9d = 16 + 2d

7d = 8

d = 8/7

Answer Link

Otras preguntas

why was the trip around South America Impractical as a trade route
8x -7 =19x +15 Solve equation
what do all hydrogen protons and ions have in common
How does the brainstorming technique of mapping help in writing a research paper? A. It explores the main topic by asking a series of questions. B. It forms con
What enzyme is involved in transcription?
Which government entity is part of our checks and balances system that decides whether a law is within the guidelines of the constitution?
Does rate of change = slope?
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mil
What makes values of a and b make each inequality true? -ab>0, ab<0, a^2b>0, a/b>0
Which two steps are needed to multiply 6371 x 2 using partial products