Recursive Formula Assignment | Assignment Help Services
Look at the sequence of differences, finding that it is a geometric sequence with common ratio ##2## and hence derive the recursive formula: ##a_1 = 3## ##a_(n+1) = 2a_n + 1## Write out the original sequence: ##3,7,15,31,63,127## Write out the sequence of differences of that sequence: ##4,8,16,32,64## This is a geometric sequence with common ratio ##2##. Try subtracting it from the original sequence to find: …
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