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Home » Challenge Yourself: Quiz on Linear (Arithmetic) and Non-Linear Sequences with Solutions

Challenge Yourself: Quiz on Linear (Arithmetic) and Non-Linear Sequences with Solutions

Check your understanding and answer the following questions.

I. Is the sequence Linear or Non Linear?


a) 3, 9, 15, 21, ……….




b) 1, 3, 6, 10, ………. 




c) 81, 72, 63, …………




d) 12.5, 13, 13.5, 14, …………




e) 7, 5, 3, 1, 0, …………




II. Consider the following sequence.

0,  5,  10,  15,  10,  5,  0,  5,  10,  15, …………

There is a constant difference of 5 between terms. 
Is it a linear or non-linear sequence?



III. What will be the third term of this sequence to make it linear?


8,  16,  ____  ,  …….
 


IV. What will be the third term of this sequence to make it non-linear?


8,  16,  ____  ,  …….
 


V. What will be the third term of linear sequence, if the first term is 75 and second term is 225?




VI. What is Term-to-Term Rule of the following linear sequences.


a) 12.5,  13,  13.5,  14,  ………..



 b) 64, 56, 48, 40, ………..



c) -4,  -8,  -12,  -16, ………..




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