LazaroMbogela
LazaroMbogela LazaroMbogela
  • 04-07-2021
  • Mathematics
contestada

The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.​

Respuesta :

caylus
caylus caylus
  • 04-07-2021

Hello,

if A.P means arithmetic progression then

let's say a the first term and r the common difference.

[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]

Answer Link

Otras preguntas

Which dynasty was the first to build advanced settlements in China
2/1÷1/4 do you know the answer
What 2 Tacoma make up the scientific name
Self-fulfilling prophecy and stereotyping can both be influences on self-concept. True False
Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points)
A radio signal travels at 3.00 • 10^8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if
identify the adverbs we almost lost the game, but suddenly Charles took a wild shot.
What was a major concern of scientists who left Nazi Germany for the United States before World War II?
Find the product of -5 and -7. -2 -35 -12 35
In a video game, two golfers tee off at hole 6, which has the coordinates (–32, –27). Golfer A’s ball lands at (–43, –18). Golfer B’s ball lands at (–44, –16).