(tn) is an arithmetic sequence in which t3-t5=6, t4= 16 , find the (n)th term and find the order and the value of the first negative term in this sequence .

Since is arithmetic, it's given recursively by

where is a fixed number and is the starting term in the sequence. We have

and so on, so that

We're told that , so

and

so that

Then the first term in the sequence is :

and the sequence has general formula

The first negative term occurs for

The first negative term in the sequence is .

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this