Question

en una progresion aritmetica de 12 terminos y si su primer termino es -2 y el ultimo -52

Answer 1

$No~especificaste~que~se~debe~hallar~asi~que~alguna~de~estas\\debe~ser:\\\\ Primer~Termino: a=-2\\Ultimo~Termino: u=-52\\ Numero~de~terminos: n=12\\Razon: R\\\\u=a+(n-1)R\\R=\frac{u-a}{n-1}\\\\R=\frac{-52+2}{12-1}=-\frac{50}{11}\\\\ La~Progresion:\\\\-2;~-\frac{72}{11};~-\frac{122}{11};~-\frac{172}{11};~-\frac{222}{11};~-\frac{272}{11};~-\frac{322}{11};~-\frac{372}{11};~-\frac{422}{11};\\\\~-\frac{472}{11};~-\frac{522}{11};~-52;\\\\\\Suma~de~los~terminos:\\\\S=\frac{(a+u)n}{2}\\\\S=\frac{(-2-52)(12)}{2}$

$\\S=(-54)(6)\\S=-324$