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

What is a good easy not so long and very confusing sentence for Majority opinion (and please don't look it up I've already tried so I would know) ;)
Mrs. Clarke is the elderly woman whose cake won first prize in the contest at the fair last year.
PLZ HELPPPP HElPPPPPPPPPPP HELPPPP ME
What does a useful scientific explanation include ??
a + 3y + 4a - 2y + 10
3 HBr + Al(OH)3 ⇒ 3 H20 + AlBr
Giving 50 ponits Which word best completes this sentence? Select the word from the drop-down menu. The ____ customer shouted and demanded to speak to a manager.
10 F The diagram below represents changes that take place within the human body. The diagram represents * IS Stability Stimulus Instability in internal conditio
Determine the type of triangle that is drawn below. Pls help asap!!!!
Which source will provide the most accurate information about a person's motivations? A. an essay analyzing the impact of the interview subject on history B. a