Which sequence can be generated from the formula f(x + 1) = (f(x))?

QUESTION POSTED AT 01/06/2020 - 02:56 PM

Answered by admin AT 01/06/2020 - 02:56 PM

The formula f(x+1)=f(x) means that a_n_+_1=a_n

(remark f(x)=a_x)

we need a starting point so say 
a_1=c and

a_n_+_1=a_n, to complete the recurrence relation.

This definition produces the constant sequence c, c, c, c, c, ....

answer:

(a_n)=c, where c is a constant
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