Question

What is the 20th term of the arithmetic sequence 4, –2, –8, … ?

Answer 1

To find the value of nth term in a series, we use the following formula\[a_n = a_1 + (n-1) d\] where a1 is the value of the first term, d is the common difference, and n is the number of terms.
Here we want to solve for the 20th term. This means n = 20. The above formula becomes \[a_{20} = 4 + (20 -1)(-6)\]

lilg132. This is an arithmetic sequence, which means each term differs by a common difference. The series you gave is a geometric series, where each term differens by a common multiple.

Answer 2

the rule is -6

Answer 3

Wait so what is the 20th term?

Answer 4

-8 - 6 = -14,
-14 - 6 = -20
-20 - 6 = -26
etc.

Answer 5

was it -110?

Answer 6

Use my formula I gave you. 20th term = 4 + 19*(-6)

Answer 7

-32, -38, -44, -50

that's 10

Answer 8

@lig

u r right

Answer 9

so -110?

Answer 10

Yes, -110 is the correct answer.

Answer 11

Thank you all so much.