Java 40 points!
The Fibonacci sequence is the sequence of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

The next number is found by adding up the two numbers before it.

For example, the 2 is found by adding the two numbers before it (1+1). The 3 is found by adding the two numbers before it (1+2). The 5 is found by adding the two numbers before it (2+3), and so on! Each number in the sequence is called a term.

In this exercise, you will need to:

Create the array int[] sequence that holds the values of the first 15 terms of the Fibonacci sequence. Think carefully about what happens to the index when iterating through the loop to fill this array. Read the Fibonacci description above to help!
Then print out the sequence of numbers separated by a space.
Finally, create a method findIndex to find the index of the term 55.
Sample output:

Fibonacci sequence up to 15 terms:
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377
Index position of 55 is: 10
Hint: You will need to use several loops: One to fill the array, one to print the array, and one to traverse the array!

Write a pseudocode solution for each of these problems. 1. design a while loop that lets that user enter a number. the number should be multiplied by 10, and the result stored in a variable named product. the loop should iterate as long as product contains a value less than 100. 2. design a do-while loop that asks the user to enter two numbers. the numbers should be added and the sum displayed. the loop should ask the user whether he or she wishes to perform the operation again. if so, the loop should repeat; otherwise it should terminate. 3. design a for loop that displays the following set of numbers: 0, 10, 20, 30, 40, 50 100. 4. design a nested loop that displays 10 rows of # characters. there should be 15 # characters in each row. 5. convert this for loop to a while loop. declare integer count for count = 1 to 50 display count end for 6. find the error in the following pseudocode. declare boolean finished = false declare integer value, cube while not finished display “enter a value to be cubed.” input value; set cube = value ^ 3 display value, “ cubed is “, cube end while

The great length of north america causes the climate to be varied. true false

Assume the existence of a bankaccount class. define a derived class, savingsaccount that contains two instance variables: the first a double, named interestrate, and the second an integer named interesttype. the value of the interesttype variable can be 1 for simple interest and 2 for compound interest. there is also a constructor that accepts two parameters: a double that is used to initialize the interestrate variable, and a string that you may assume will contain either "simple", or "compound", and which should be used to initialize the interesttype variable appropriately. there should also be a pair of functions getinterestrate and getinteresttype that return the values of the corresponding data members (as double and int respectively).