Answer:
The 4th term in the sequence is -8.
Step-by-step explanation:
The nth term of the sequence B is given by:

So the fourth term will be given by:
B when n = 4, that is, B(4).

The 4th term in the sequence is -8.
Any number inside the modulus sign becomes positive. This means
and so we have,

Solving these gives us


However if we check the second solution in the original equation we obtain
. This is false and so
can't be a solution.
Therefore the only solution is
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
Answer:
A) not similar
Step-by-step explanation:
for the triangles to be similar the side lengths must be proportional.
For example:
99/35 should be equal to 121/44 but when we do cross multiplying we see they are not equal therefore the the triangles are not similar.
Answer:
x=3
Step-by-step explanation:
first let's try to get just 3x on one side. to do this we can subtract 2 from both side of the equation.
3x+(2-2)=11-2
3x=9
now we have to isolate the variable we can divide both sides by 3:
3x/3=9/3
x=3
and you get the answer that x is 3
Let the missing number be x
r= x/50= 450/x
x^2 = 22500
x = 150