Answer:
The statement in the question is wrong. The series actually diverges.
Step-by-step explanation:
We compute
Therefore, by the series divergence test, the series 
diverges.
EDIT: To VectorFundament120, if 
is a sequence, both 
and 
are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
