Respuesta :

Answer:

6

Step-by-step explanation:

31-5=26

26-5=21

21-5=16

16-5=11

11-5=6

Answer:

[tex]\boxed{\textsf{ The first negative term of the sequence is \textbf{-4} .}}[/tex]

Step-by-step explanation:

A sequence is given to us . And we need to find the first negative term of the sequence. So the given sequence to us is :-

[tex]\sf\implies Sequence = 31 , 26 , 21 , 16 ..... [/tex]

Here first term of the sequence is 31. And the common difference is 26 - 31 = -5 . Hence here (-5) is added to each number to obtain the second number of the sequence .

Here the last term mentioned is 16. And we are subsequently adding (-5) to each term to obtain the next term . Next third term will be obtained after adding 5×(-3) = -15 .

And that term will be , 16 - 15 = 1 .

Hence the last positive term is 1 . The next term term after adding (-5) will be the first negative term.

[tex]\sf \implies 1st \ negative \ term = 1 -5 =\pink{-4} . [/tex]