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a) Prove the following statement by using induction method. For any real number x except 1 , and any integer n≥0,i=0∑nx
Posted: Thu Jul 14, 2022 3:56 pm
by answerhappygod
- A Prove The Following Statement By Using Induction Method For Any Real Number X Except 1 And Any Integer N 0 I 0 N X 1 (37.51 KiB) Viewed 30 times
a) Prove the following statement by using induction method. For any real number x except 1 , and any integer n≥0,i=0∑nxi=x−1xn+1−1. (7 Marks) b) Let the sum of the first two terms of a geometric series is 7 and the sum of the first six terms is 91 . Show that the common ratio r satisfies r2=3. (3 Marks) c) Use iteration method to guess an explicit formula for the recurrence relation below. bn=3bn−1+1 for all integers n≥2 where initial condition, b1=1. (4 Marks) d) Let B={0,1,2,3,4} and consider the following partition of B:{0,3,4},{1},{2}. Find the relation R induced by this partition. (6 Marks)