Answer:
Step-by-step explanation:
Perpendicular lines are lines whose slopes are negative reciprocals of each other
To find the slope of the line we are given, we can rearrange the equation
The slope of this line is , so the slope of the other line is
next, we can use the given point to find the equation
we know m, we can solve for b
We have been given the sequence 2,3,5,9,17.
We can write the terms of this sequence as
From the above term we can see that for the first term we take exponent 0 on 2 and then add 1 .
For second term we take exponent 1 on 2 and then add 1 .
For third term we take exponent 2 on 2 and then add 1 .
Using this fact for the next term of the sequence i.e. 6th term, we can take exponent 5 on 2 and then add 1 .
Therefore, next term of the sequence is given by
Therefore, the next term is 33.
Using the above facts, the pattern is given by