From the listed choices, you can prove the series diverges using either the integral or <em>p</em>-series test.
We have

which diverges to infinity, so the series is divergent.
The series

converges only for
. In the given sum, we have
, so the series is divergent.
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
C. CONCAVE
A mirror with a reflecting surface that caves inward is said to be CONCAVE.
Clue: caves inward. )(
Convex has an outline of surface that cave outward. It is like the outside of the circle or sphere. ()
15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2
you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32)
16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.