Let a1 be given. Write a program to compute for 1?n ?1000 the numbers Print the...

Let a₁ be given. Write a program to compute for 1?n ?1000 the numbers

Print the numbers a₁₀₀, a₂₀₀, . . . , a₁₀₀₀. Do not use subscripted variables. What should a_n be? Account for the deviation of fact from theory. Determine four values for a₁ so that the computation does deviate from theory on your computer.

Hint: Consider extremely small and large numbers and print to full machine precision.