а4=-1 , а7=27
а4=а1*q^3
a7=a1*q^6 = a1*q^3*q^3 = a4*q^3
27=-1*q^3
q^3=-27
q=-3
от -∞ до 3
(-∞;3] график функции: ⬇⬇⬇⬇⬇
*̸̵̵̵̸̴̴̸̴̵̸̸̸̵̵̡͓̫͍̺͇͎̻͍̼̼̦͎͓̝̪͍̼̘̟͇̞͇̞͓͎̻̺͔̺̞̘̺̟̞̞̞͍̓̓͒́̈́̾́̽́͐̾̒̓̒̾̈́̔̽̽͌̔̒͐͌͊͒͑̈́̓͊͛̓̀̕͘͘͘͜͠͠͠*̵̴̵̵̸̵̴̴̵̴̵̸̵̴̸̢̡̡̠͍̝͉̘̦͍͇̠̠̙̠͇͓͖͍̙̼̙̦̦̻̙͓̺̙̘͓̪̻͕͔͇̼̪̘̼̔͆̈́̐͌̔̽̿̓͑͋̓̓͛̈́̓̈́͛͋̒͐̒̿̔̾͋̿̈́͑͌̚̕̚͘̚̕͝͠͠͝͝*̸̵̸̴̴̸̵̸̴̴̴̴̴̸̵̵̴̡̦̻̫̺̘͕̺̠̼͙̘̠̦͕̝͕̼̞̟̺͔̠͖͖͚̼͔͎͉̼̼̻̻̞͖̝͙͓͓̙͍͊͛̐̾̿͆̾́͐̓́͋̈́̒̓̽͊̀͑̓̓́͌̀́̓͆̒͆̽͆̒́͑͒̈́͑̓͒̕̕͜͜͜͜͝͠͝͝*̸̸̸̴̴̵̸̵̵̵̵̵̸̴̴̴̸̸̢̪̼͖̫̝͍͇̼̘͕̘͍̪̦͔̪̪̪̞͍̼͙̼͕͖̪̫̺̠̦͙̝̦͍͚̠̘̦͍̦͖̼͖͉̙͎̾̈́̓̾̿̓͋̽͛̔͊͌̈́̀͋̓̓̒̔̒̿͒͛͊̀͒͋̒͋̔͌͐͌͛̓͘̕̚̕̚͘̕͜͝͝͠͝͝͝͝͝͝*̸̸̴̵̸̸̵̸̴̵̴̸̸̸̸̡̡̟͓̠̙̦̪͔̘̞͖̫͕̦̼͔̻͕͉͓͓͉͓̙̼̙͓̪̼̪̫͍͎͇̻̞͛͋̈́̒̽͛̓̈́̒̀͊̔̒͆͛̓̓̾̔͐̽̒͊̽̐͒́̈́̔͑̓̕̚̚̕͜͜͠͠͝͝͝͝͠͠*̴̵̸̴̴̵̴̸̸̵̸̸̴̵̡̡̡̡̢͔̦̼̼̞͇͎̘͎̻͕̻̠͓̝̫̠͚̝͚͕͎͍͓͕̺͙͉̻̝͔̙͍̟͊̽̀̓̓͌͆́̈́͋͐͑̓̾͑͊͑͆̔̐͌̓̒͌͋̚͘͘̚͘͜͜͝͠͠͝͠͝͝͝͠͝*̸̴̵̴̴̵̴̸̵̴̴̴̴̵̴̴̵̸̡̡̢̪͍͉̫͕̠̞̠̺̟͓͕̦̻͓̞͚̼͉̞͇͓̞̪̙͍͙̺͉͇̦̘͍͎͍͎̪͕̙͇̞̟̘͓͉̼̞̘͆͛̐̔͐͆̈́́̔̔̓͌͐̿͑͆̐͑͊͐͒͋͐̓͑͋͌̿̓̾͊̒͋̈́͊͊̚͘̚̕̕̚͘̕̕͝͠͝͠͠*̵̴̸̴̴̴̸̴̵̴̴̡̢̢̡̺̙͙͇͙̞̼͍͚͓̙̫͇͇̘͎̙͙̝̙͔͙̻͐͑͌͐̓͆̓͌̿̐̽͑̒̈́̾͋̐̽̔͌̈́̀͛͆́͐̕͘͜͜͝͝͝*̸̵̵̸̴̸̴̸̸̵̸̴̸̵̸̢̢̡̼͎͕̼̠̼̙͇͎͚̟̝̦̫͉̟̪̟͉̝̦̘͕̼͔͔͔̙̫͎̫̙͕̝͉̫͍̻͑͒̔̈́̈́̓̐͑̐̾̒̽͌͋̈́͋̀̈́͊͑̓̓͒̓͊̈́͑͑̈́͆̽͊̈́̐̚̚̕̕̕͜͝͝͝͠*̸̵̴̴̸̸̸̸̸̸̸̸̴̵̡̡̡̢͚̘̼̟͙͎͍̘̺͍̼͓̫̦̻͚̝̟͓̻͎͚̟̼͔̫̺͉̫͓͕̞̺̟̓͆̐̈́̿̒̔͒͋͛̽͛̿͑͋̿͌͛͆̽̿͋̿̒̔͑̈́̿̚̚͘͘̚̚͘̕͜͜͝͠͝*̸̵̵̵̸̴̴̸̴̵̸̸̸̵̵̡͓̫͍̺͇͎̻͍̼̼̦͎͓̝̪͍̼̘̟͇̞͇̞͓͎̻̺͔̺̞̘̺̟̞̞̞͍̓̓͒́̈́̾́̽́͐̾̒̓̒̾̈́̔̽̽͌̔̒͐͌͊͒͑̈́̓͊͛̓̀̕͘͘͘͜͠͠͠*̵̴̵̵̸̵̴̴̵̴̵̸̵̴̸̢̡̡̠͍̝͉̘̦͍͇̠̠̙̠͇͓͖͍̙̼̙̦̦̻̙͓̺̙̘͓̪̻͕͔͇̼̪̘̼̔͆̈́̐͌̔̽̿̓͑͋̓̓͛̈́̓̈́͛͋̒͐̒̿̔̾͋̿̈́͑͌̚̕̚͘̚̕͝͠͠͝͝*̸̵̸̴̴̸̵̸̴̴̴̴̴̸̵̵̴̡̦̻̫̺̘͕̺̠̼͙̘̠̦͕̝͕̼̞̟̺͔̠͖͖͚̼͔͎͉̼̼̻̻̞͖̝͙͓͓̙͍͊͛̐̾̿͆̾́͐̓́͋̈́̒̓̽͊̀͑̓̓́͌̀́̓͆̒͆̽͆̒́͑͒̈́͑̓͒̕̕͜͜͜͜͝͠͝͝*̸̸̸̴̴̵̸̵̵̵̵̵̸̴̴̴̸̸̢̪̼͖̫̝͍͇̼̘͕̘͍̪̦͔̪̪̪̞͍̼͙̼͕͖̪̫̺̠̦͙̝̦͍͚̠̘̦͍̦͖̼͖͉̙͎̾̈́̓̾̿̓͋̽͛̔͊͌̈́̀͋̓̓̒̔̒̿͒͛͊̀͒͋̒͋̔͌͐͌͛̓͘̕̚̕̚͘̕͜͝͝͠͝͝͝͝͝͝*̸̸̴̵̸̸̵̸̴̵̴̸̸̸̸̡̡̟͓̠̙̦̪͔̘̞͖̫͕̦̼͔̻͕͉͓͓͉͓̙̼̙͓̪̼̪̫͍͎͇̻̞͛͋̈́̒̽͛̓̈́̒̀͊̔̒͆͛̓̓̾̔͐̽̒͊̽̐͒́̈́̔͑̓̕̚̚̕͜͜͠͠͝͝͝͝͠͠*̴̵̸̴̴̵̴̸̸̵̸̸̴̵̡̡̡̡̢͔̦̼̼̞͇͎̘͎̻͕̻̠͓̝̫̠͚̝͚͕͎͍͓͕̺͙͉̻̝͔̙͍̟͊̽̀̓̓͌͆́̈́͋͐͑̓̾͑͊͑͆̔̐͌̓̒͌͋̚͘͘̚͘͜͜͝͠͠͝͠͝͝͝͠͝*̸̴̵̴̴̵̴̸̵̴̴̴̴̵̴̴̵̸̡̡̢̪͍͉̫͕̠̞̠̺̟͓͕̦̻͓̞͚̼͉̞͇͓̞̪̙͍͙̺͉͇̦̘͍͎͍͎̪͕̙͇̞̟̘͓͉̼̞̘͆͛̐̔͐͆̈́́̔̔̓͌͐̿͑͆̐͑͊͐͒͋͐̓͑͋͌̿̓̾͊̒͋̈́͊͊̚͘̚̕̕̚͘̕̕͝͠͝͠͠*̵̴̸̴̴̴̸̴̵̴̴̡̢̢̡̺̙͙͇͙̞̼͍͚͓̙̫͇͇̘͎̙͙̝̙͔͙̻͐͑͌͐̓͆̓͌̿̐̽͑̒̈́̾͋̐̽̔͌̈́̀͛͆́͐̕͘͜͜͝͝͝*̸̵̵̸̴̸̴̸̸̵̸̴̸̵̸̢̢̡̼͎͕̼̠̼̙͇͎͚̟̝̦̫͉̟̪̟͉̝̦̘͕̼͔͔͔̙̫͎̫̙͕̝͉̫͍̻͑͒̔̈́̈́̓̐͑̐̾̒̽͌͋̈́͋̀̈́͊͑̓̓͒̓͊̈́͑͑̈́͆̽͊̈́̐̚̚̕̕̕͜͝͝͝͠*̸̵̴̴̸̸̸̸̸̸̸̸̴̵̡̡̡̢͚̘̼̟͙͎͍̘̺͍̼͓̫̦̻͚̝̟͓̻͎͚̟̼͔̫̺͉̫͓͕̞̺̟̓͆̐̈́̿̒̔͒͋͛̽͛̿͑͋̿͌͛͆̽̿͋̿̒̔͑̈́̿̚̚͘͘̚̚͘̕͜͜͝͠͝*̸̵̵̵̸̴̴̸̴̵̸̸̸̵̵̡͓̫͍̺͇͎̻͍̼̼̦͎͓̝̪͍̼̘̟͇̞͇̞͓͎̻̺͔̺̞̘̺̟̞̞̞͍̓̓͒́̈́̾́̽́͐̾̒̓̒̾̈́̔̽̽͌̔̒͐͌͊͒͑̈́̓͊͛̓̀̕͘͘͘͜͠͠͠*̵̴̵̵̸̵̴̴̵̴̵̸̵̴̸̢̡̡̠͍̝͉̘̦͍͇̠̠̙̠͇͓͖͍̙̼̙̦̦̻̙͓̺̙̘͓̪̻͕͔͇̼̪̘̼̔͆̈́̐͌̔̽̿̓͑͋̓̓͛̈́̓̈́͛͋̒͐̒̿̔̾͋̿̈́͑͌̚̕̚͘̚̕͝͠͠͝͝*̸̵̸̴̴̸̵̸̴̴̴̴̴̸̵̵̴̡̦̻̫̺̘͕̺̠̼͙̘̠̦͕̝͕̼̞̟̺͔̠͖͖͚̼͔͎͉̼̼̻̻̞͖̝͙͓͓̙͍͊͛̐̾̿͆̾́͐̓́͋̈́̒̓̽͊̀͑̓̓́͌̀́̓͆̒͆̽͆̒́͑͒̈́͑̓͒̕̕͜͜͜͜͝͠͝͝*̸̸̸̴̴̵̸̵̵̵̵̵̸̴̴̴̸̸̢̪̼͖̫̝͍͇̼̘͕̘͍̪̦͔̪̪̪̞͍̼͙̼͕͖̪̫̺̠̦͙̝̦͍͚̠̘̦͍̦͖̼͖͉̙͎̾̈́̓̾̿̓͋̽͛̔͊͌̈́̀͋̓̓̒̔̒̿͒͛͊̀͒͋̒͋̔͌͐͌͛̓͘̕̚̕̚͘̕͜͝͝͠͝͝͝͝͝͝*̸̸̴̵̸̸̵̸̴̵̴̸̸̸̸̡̡̟͓̠̙̦̪͔̘̞͖̫͕̦̼͔̻͕͉͓͓͉͓̙̼̙͓̪̼̪̫͍͎͇̻̞͛͋̈́̒̽͛̓̈́̒̀͊̔̒͆͛̓̓̾̔͐̽̒͊̽̐͒́̈́̔͑̓̕̚̚̕͜͜͠͠͝͝͝͝͠͠*̴̵̸̴̴̵̴̸̸̵̸̸̴̵̡̡̡̡̢͔̦̼̼̞͇͎̘͎̻͕̻̠͓̝̫̠͚̝͚͕͎͍͓͕̺͙͉̻̝͔̙͍̟͊̽̀̓̓͌͆́̈́͋͐͑̓̾͑͊͑͆̔̐͌̓̒͌͋̚͘͘̚͘͜͜͝͠͠͝͠͝͝͝͠͝*̸̴̵̴̴̵̴̸̵̴̴̴̴̵̴̴̵̸̡̡̢̪͍͉̫͕̠̞̠̺̟͓͕̦̻͓̞͚̼͉̞͇͓̞̪̙͍͙̺͉͇̦̘͍͎͍͎̪͕̙͇̞̟̘͓͉̼̞̘͆͛̐̔͐͆̈́́̔̔̓͌͐̿͑͆̐͑͊͐͒͋͐̓͑͋͌̿̓̾͊̒͋̈́͊͊̚͘̚̕̕̚͘̕̕͝͠͝͠͠*̵̴̸̴̴̴̸̴̵̴̴̡̢̢̡̺̙͙͇͙̞̼͍͚͓̙̫͇͇̘͎̙͙̝̙͔͙̻͐͑͌͐̓͆̓͌̿̐̽͑̒̈́̾͋̐̽̔͌̈́̀͛͆́͐̕͘͜͜͝͝͝*̸̵̵̸̴̸̴̸̸̵̸̴̸̵̸̢̢̡̼͎͕̼̠̼̙͇͎͚̟̝̦̫͉̟̪̟͉̝̦̘͕̼͔͔͔̙̫͎̫̙͕̝͉̫͍̻͑͒̔̈́̈́̓̐͑̐̾̒̽͌͋̈́͋̀̈́͊͑̓̓͒̓͊̈́͑͑̈́͆̽͊̈́̐̚̚̕̕̕͜͝͝͝͠*̸̵̴̴̸̸̸̸̸̸̸̸̴̵̡̡̡̢͚̘̼̟͙͎͍̘̺͍̼͓̫̦̻͚̝̟͓̻͎͚̟̼͔̫̺͉̫͓͕̞̺̟̓͆̐̈́̿̒̔͒͋͛̽͛̿͑͋̿͌͛͆̽̿͋̿̒̔͑̈́̿̚̚͘͘̚̚͘̕͜͜͝͠͝*̸̵̵̵̸̴̴̸̴̵̸̸̸̵̵̡͓̫͍̺͇͎̻͍̼̼̦͎͓̝̪͍̼̘̟͇̞͇̞͓͎̻̺͔̺̞̘̺̟̞̞̞͍̓̓͒́̈́̾́̽́͐̾̒̓̒̾̈́̔̽̽͌̔̒͐͌͊͒͑̈́̓͊͛̓̀̕͘͘͘͜͠͠͠*̵̴̵̵̸̵̴̴̵̴̵̸̵̴̸̢̡̡̠͍̝͉̘̦͍͇̠̠̙̠͇͓͖͍̙̼̙̦̦̻̙͓̺̙̘͓̪̻͕͔͇̼̪̘̼̔͆̈́̐͌̔̽̿̓͑͋̓̓͛̈́̓̈́͛͋̒͐̒̿̔̾͋̿̈́͑͌̚̕̚͘̚̕͝͠͠͝͝*̸̵̸̴̴̸̵̸̴̴̴̴̴̸̵̵̴̡̦̻̫̺̘͕̺̠̼͙̘̠̦͕̝͕̼̞̟̺͔̠͖͖͚̼͔͎͉̼̼̻̻̞͖̝͙͓͓̙͍͊͛̐̾̿͆̾́͐̓́͋̈́̒̓̽͊̀͑̓̓́͌̀́̓͆̒͆̽͆̒́͑͒̈́͑̓͒̕̕͜͜͜͜͝͠͝͝*̸̸̸̴̴̵̸̵̵̵̵̵̸̴̴̴̸̸̢̪̼͖̫̝͍͇̼̘͕̘͍̪̦͔̪̪̪̞͍̼͙̼͕͖̪̫̺̠̦͙̝̦͍͚̠̘̦͍̦͖̼͖͉̙͎̾̈́̓̾̿̓͋̽͛̔͊͌̈́̀͋̓̓̒̔̒̿͒͛͊̀͒͋̒͋̔͌͐͌͛̓͘̕̚̕̚͘̕͜͝͝͠͝͝͝͝͝͝*̸̸̴̵̸̸̵̸̴̵̴̸̸̸̸̡̡̟͓̠̙̦̪͔̘̞͖̫͕̦̼͔̻͕͉͓͓͉͓̙̼̙͓̪̼̪̫͍͎͇̻̞͛͋̈́̒̽͛̓̈́̒̀͊̔̒͆͛̓̓̾̔͐̽̒͊̽̐͒́̈́̔͑̓̕̚̚̕͜͜͠͠͝͝͝͝͠͠*̴̵̸̴̴̵̴̸̸̵̸̸̴̵̡̡̡̡̢͔̦̼̼̞͇͎̘͎̻͕̻̠͓̝̫̠͚̝͚͕͎͍͓͕̺͙͉̻̝͔̙͍̟͊̽̀̓̓͌͆́̈́͋͐͑̓̾͑͊͑͆̔̐͌̓̒͌͋̚͘͘̚͘͜͜͝͠͠͝͠͝͝͝͠͝*̸̴̵̴̴̵̴̸̵̴̴̴̴̵̴̴̵̸̡̡̢̪͍͉̫͕̠̞̠̺̟͓͕̦̻͓̞͚̼͉̞͇͓̞̪̙͍͙̺͉͇̦̘͍͎͍͎̪͕̙͇̞̟̘͓͉̼̞̘͆͛̐̔͐͆̈́́̔̔̓͌͐̿͑͆̐͑͊͐͒͋͐̓͑͋͌̿̓̾͊̒͋̈́͊͊̚͘̚̕̕̚͘̕̕͝͠͝͠͠*̵̴̸̴̴̴̸̴̵̴̴̡̢̢̡̺̙͙͇͙̞̼͍͚͓̙̫͇͇̘͎̙͙̝̙͔͙̻͐͑͌͐̓͆̓͌̿̐̽͑̒̈́̾͋̐̽̔͌̈́̀͛͆́͐̕͘͜͜͝͝͝*̸̵̵̸̴̸̴̸̸̵̸̴̸̵̸̢̢̡̼͎͕̼̠̼̙͇͎͚̟̝̦̫͉̟̪̟͉̝̦̘͕̼͔͔͔̙̫͎̫̙͕̝͉̫͍̻͑͒̔̈́̈́̓̐͑̐̾̒̽͌͋̈́͋̀̈́͊͑̓̓͒̓͊̈́͑͑̈́͆̽͊̈́̐̚̚̕̕̕͜͝͝͝͠*̸̵̴̴̸̸̸̸̸̸̸̸̴̵̡̡̡̢͚̘̼̟͙͎͍̘̺͍̼͓̫̦̻͚̝̟͓̻͎͚̟̼͔̫̺͉̫͓͕̞̺̟̓͆̐̈́̿̒̔͒͋͛̽͛̿͑͋̿͌͛͆̽̿͋̿̒̔͑̈́̿̚̚͘͘̚̚͘̕͜͜͝͠͝*̸̵̵̵̸̴̴̸̴̵̸̸̸̵̵̡͓̫͍̺͇͎̻͍̼̼̦͎͓̝̪͍̼̘̟͇̞͇̞͓͎̻̺͔̺̞̘̺̟̞̞̞͍̓̓͒́̈́̾́̽́͐̾̒̓̒̾̈́̔̽̽͌̔̒͐͌͊͒͑̈́̓͊͛̓̀̕͘͘͘͜͠͠͠*̵̴̵̵̸̵̴̴̵̴̵̸̵̴̸̢̡̡̠͍̝͉̘̦͍͇̠̠̙̠͇͓͖͍̙̼̙̦̦̻̙͓̺̙̘͓̪̻͕͔͇̼̪̘̼̔͆̈́̐͌̔̽̿̓͑͋̓̓͛̈́̓̈́͛͋̒͐̒̿̔̾͋̿̈́͑͌̚̕̚͘̚̕͝͠͠͝͝*̸̵̸̴̴̸̵̸̴̴̴̴̴̸̵̵̴̡̦̻̫̺̘͕̺̠̼͙̘̠̦͕̝͕̼̞̟̺͔̠͖͖͚̼͔͎͉̼̼̻̻̞͖̝͙͓͓̙͍͊͛̐̾̿͆̾́͐̓́͋̈́̒̓̽͊̀͑̓̓́͌̀́̓͆̒͆̽͆̒́͑͒̈́͑̓͒̕̕͜͜͜͜͝͠͝͝*̸̸̸̴̴̵̸̵̵̵̵̵̸̴̴̴̸̸̢̪̼͖̫̝͍͇̼̘͕̘͍̪̦͔̪̪̪̞͍̼͙̼͕͖̪̫̺̠̦͙̝̦͍͚̠̘̦͍̦͖̼͖͉̙͎̾̈́̓̾̿̓͋̽͛̔͊͌̈́̀͋̓̓̒̔̒̿͒͛͊̀͒͋̒͋̔͌͐͌͛̓͘̕̚̕̚͘̕͜͝͝͠͝͝͝͝͝͝*̸̸̴̵̸̸̵̸̴̵̴̸̸̸̸̡̡̟͓̠̙̦̪͔̘̞͖̫͕̦̼͔̻͕͉͓͓͉͓̙̼̙͓̪̼̪̫͍͎͇̻̞͛͋̈́̒̽͛̓̈́̒̀͊̔̒͆͛̓̓̾̔͐̽̒͊̽̐͒́̈́̔͑̓̕̚̚̕͜͜͠͠͝͝͝͝͠͠*̴̵̸̴̴̵̴̸̸̵̸̸̴̵̡̡̡̡̢͔̦̼̼̞͇͎̘͎̻͕̻̠͓̝̫̠͚̝͚͕͎͍͓͕̺͙͉̻̝͔̙͍̟͊̽̀̓̓͌͆́̈́͋͐͑̓̾͑͊͑͆̔̐͌̓̒͌͋̚͘͘̚͘͜͜͝͠͠͝͠͝͝͝͠͝*̸̴̵̴̴̵̴̸̵̴̴̴̴̵̴̴̵̸̡̡̢̪͍͉̫͕̠̞̠̺̟͓͕̦̻͓̞͚̼͉̞͇͓̞̪̙͍͙̺͉͇̦̘͍͎͍͎̪͕̙͇̞̟̘͓͉̼̞̘͆͛̐̔͐͆̈́́̔̔̓͌͐̿͑͆̐͑͊͐͒͋͐̓͑͋͌̿̓̾͊̒͋̈́͊͊̚͘̚̕̕̚͘̕̕͝͠͝͠͠*̵̴̸̴̴̴̸̴̵̴̴̡̢̢̡̺̙͙͇͙̞̼͍͚͓̙̫͇͇̘͎̙͙̝̙͔͙̻͐͑͌͐̓͆̓͌̿̐̽͑̒̈́̾͋̐̽̔͌̈́̀͛͆́͐̕͘͜͜͝͝͝*̸̵̵̸̴̸̴̸̸̵̸̴̸̵̸̢̢̡̼͎͕̼̠̼̙͇͎͚̟̝̦̫͉̟̪̟͉̝̦̘͕̼͔͔͔̙̫͎̫̙͕̝͉̫͍̻͑͒̔̈́̈́̓̐͑̐̾̒̽͌͋̈́͋̀̈́͊͑̓̓͒̓͊̈́͑͑̈́͆̽͊̈́̐̚̚̕̕̕͜͝͝͝͠*̸̵̴̴̸̸̸̡̡͚̘̼̟͙͎͍̘̺͍̼͓̫̦̓͆̐̈́̿̒̔͒͋͛̽͛̿͑̚̚͘͜͝͠.
а4=-1 , а7=27
а4=а1*q^3
a7=a1*q^6 = a1*q^3*q^3 = a4*q^3
подставляем:
27=-1*q^3
q^3=-27
q=-3
ответ: знаменательпрогрессии равен -3.