a) write the algebraic form of the arithmetic sequence 8,11,14
b) is 121 is a term of this sequence? why?
c) prove that the square of any term of this sequence will not occur in this sequence
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a)It is a arthematic progression with
starting term,a=8 and common difference,d=3
that is every terms increases by 3 than its previous term
b)No.It is not a term of this AP
let it be n th term....so formula for n th term is
n th term= a+(n-1)d
121=8+(n-1)3
113=(n-1)3
(n-1)=113÷3
It is not a integer...so it is not a term of given sequence.
c)It can be seen by verification
8^2,11^2,14^2,......
64,121,196,.....
It is not a sequence
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