Số các số hạng là :
\(\left(25,25-1,25\right):1,5+1=17\)
Tổng dãy số trên là :
\(\left(25,25+1,25\right).17:2=225,25\)
Chúc bạn học tốt !!!
Ta có:1,25 - 2,75 + 4,25 - 5.75 + ... + 25,25
=>\(\frac{5}{4}-\frac{11}{4}+\frac{17}{4}-\frac{23}{4}+...+\frac{101}{4}\)
=>\(\frac{5}{4}+\frac{17}{4}+....+\frac{101}{4}-\frac{11}{4}-\frac{23}{4}-....-\frac{95}{4}\)
=>\(\left(\frac{5}{4}+\frac{17}{4}+...+\frac{101}{4}\right)-\left(\frac{11}{4}+\frac{23}{4}+....+\frac{95}{4}\right)\)
=>\(\left(\frac{5+17+...+101}{4}\right)-\left(\frac{11+23+....+95}{4}\right)\)
=>\(\left(\frac{\left(101+5\right).\left[\left(101-5\right):12+1\right]:2}{4}\right)-\left(\frac{\left(95+11\right).\left[\left(95-11\right):12+1\right]:2}{4}\right)\)
=>\(\left(\frac{106.\left(96:12+1\right):2}{4}\right)-\left(\frac{106.\left(84:12+1\right):2}{4}\right)\)
=>\(\left(\frac{53.\left(8+1\right)}{4}\right)-\left(\frac{53.\left(7+1\right)}{4}\right)\)
=>\(\left(\frac{53.9}{4}\right)-\left(\frac{53.8}{4}\right)\)
=>\(\frac{477}{4}-\frac{424}{4}=\frac{53}{4}=13,25\)
Vậy 1,25 - 2,75 + 4,25 - 5.75 + ... + 25,25 = 13,25
Chúc bn học tốt!
