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6) 4,9,16, 25, what is the sequence


Sagot :

Answer:

You can't use the formula a+(n-1)d for exactly the reason that you give (d changes). The formula is ONLY for arithmetic sequences where d remains constant.

The sequence 4, 9, 16, 25, ... is not arithmetic, but 4, 9, 16, 25,... are perfect squares.

a1 = 4 = 22

a2 = 9 = 32

a3 = 16 = 42, etc

So, we could define the sequence as an = (n+1)2, for n = 1,2,3,...