GATE CS 2016 Set 1 — Question 37
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Engineering Mathematics → Sets & Combinatorics → Recurrence Relations
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Question
Consider the recurrence relation . Let . The value of is ________.
Correct answer
197.9 to 198.1
Solution
The recurrence relation is given by:This holds for . We can express as the sum of these differences plus the initial term. However, let's check if the formula for the difference works for to define a consistent . If , and given , then . Thus, we can write as a summation from to :Using the standard summation formulas and :Factor out :We need to find :Comparing with , we get:
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