1.

Find the13th term of the sequence 12, 21, 30,.. ​

Answer»

Answer:

What is the next number of the sequence 3, 12, 21, _, _, _?

The PATTERN from what is given looks to be that

3, 12, 21, _, _, _ is  

3, 3+9, 12+9, _, _, _  

⟹3, 3+9, 3+18, _, _, _  

⟹3+9×0, 3+9×1,  

3+9×2, _, _, _.  

So, continued on INDEFINITELY, the  nth–––  number of the given sequence is  3+9n.  

So the 4th number is obtained by letting  n=4  in the formula:

3+4×9=3+36=39.  

Filling in the next two blanks SHOWN in the question, get

3+5×9=3+45=48 and 3+6×9=3+54=57.


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