Answer:
(a)= option 3
(b)= option 3
Step-by-step explanation:
(A) It is given that a sequence is defined by the recursive function
and 
Now, substituting the value of n=2 in above equation,



Again putting n=3,



Putting n=4,



Putting n=5,



Putting n=6,



Putting n=7,



Hence, option 3 is correct.
(B) The given sequence is :
5, -10, 20, -40, 80.....
Since, the given sequence is GP, therefore
and r=-2
The nth term is given by:

For fifteenth term, put n=15 in above equation, we get

=
=
Hence, the fifteenth term is 81920.
Option 3 is correct.
Hopefully that I can Help ... A.53
Answer:
2.9403x10^15
Step-by-step explanation:
plsss mark as brainliestt :)
Answer:
For the first one the answer is:
<K = 31°
Sorry I don't know the second one.
Answer:
Option b
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the equation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 