Write the terms of the arithmetic sequences:

Question

im taking a placement test and part of the test includes college algebra. I was going through it and the questions is hard to figure out how it got the answer because i also have the solutions. thankyou :) i found out the sum between the sequence and series of list of numbers is the arithmeric sequence?

 

1) a1=5, d=-2 ,n=6

2) a1=-5, a2=-5+(squareroot) of 3 , n=4

 

the solution was:

{ 5,3,1,-1,-3,-5}

 

Answer 1

Both of these are arithmetic sequences. They are arithmetic because the same number, "d," is added each time to get the next number.

 

For 1)

 

a₁ = 5

a₂ = 5 + (-2) = 3

a₃ = 3 + (-2) = 1

a₄ = 1 + (-2) = -1

a₅ = -1 + (-2) = -3

a₆ = -3 + (-2) = -5