1. The problem statement, all variables and given/known data Given successive terms of numbers starting from the 1st term: 11, 21, 35, 53, 75, 101,... What is the general expression of the nth term? where n is positive integer 2. Relevant equations / 3. The attempt at a solution Can't find a good attempt.
sorry I don't know... how will you determine a general expression for it in this problem without trial and error? is it like finding a needle in the ocean?
look at the terms, then form a sequences of differences and what do you get? 10 , 14, 18, 22, 26 ... look at the differences as a sequence and what do you see? write an expression to generate the differences sequence term(n)= term(0) + 4*(n-1) where n=1, 2, 3, 4... then write an expression to generate your sequence using the differences expression TERM(n) = TERM(0) + ...