Answer:
option A and E
Step-by-step explanation:
Arithmetic sequence converge, only in the case only when r=0
otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.
So we ignore second and fourth option
If |r|<1 then geometric sequence converge
if |r|>1 then geometric sequence diverge
In option A, r= 1/5 that is less than 1 so it converge
In option C, r= -2 , |r| > 1 so geometric sequence diverge
In option E, r= 2/3 that is less than 1 so it converges
Answer is option A and E
Answer:
The answer would be 19. I think. I am not so good at mathematics. I just added 19 to -3 and got the answer of 16.
Step-by-step explanation:
16 - 19 = -3
That's all..
you times each side by the number
Answer:
the answer is 52
Step-by-step explanation:
you have to divide 468 by 9 and should get you too 52
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
