
As

, the sequence

converges to zero.
If you're talking about the infinite series

well we've shown by comparison that this series must also converge because we know any geometric series

will converge as long as

.
C. 9^4
when dividing with exponents, i usually just look at the exponents and subract them so i did 12-8 for this problem
Answer:
-1/16
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
1 to any power is 1, so you can ignore all of the 'a' factors. That leaves ...
1/(2b^3) = 1/(2(-2)^3) = 1/(2(-8)) = -1/16
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A calculator can help you figure this out.
Answer:
14,1 cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm