Respuesta :

for an arithmetic sequence, the nth term = the first term + d(n-1), d is the difference between two neighboring numbers, in this case, d is 5
the 20th term=-4+5(20-1)=91

The 20th term in the arithmetic sequence -4, 1, 6, 11, 16,... is 91 and this can be determined by using the formula of the nth term.

Given :

Sequence  --  -4, 1, 6, 11, 16,...

The following steps can be used in order to determine the 20th term in the arithmetic sequence:

Step 1 - In the arithmetic operations the formula of the nth term is given below:

[tex]\rm T_{th} = a+(n-1)d[/tex]

Step 2 - According to the given data, the value of n is 20, the first term is -4, and the difference between two consecutive terms is 5.

Step 3 - Substitute the values of the known terms in the above formula.

[tex]\rm T_{20} = -4+(20-1)5[/tex]

Step 4 - Simplify the above expression.

[tex]\rm T_{20} = -4+19\times 5[/tex]

[tex]\rm T_{20} = 91[/tex]

For more information, refer to the link given below:

https://brainly.com/question/16130064