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find the next four term of the sequence 1,4,9,16,___,___,___,___​

Sagot :

Answer:

As you would have noticed the pattern.

The pattern goes like :

1 to 4 = gap of 3

4 to 9 = gap of 5

9 to 16 = gap of 7

16 to 25 = gap of 9

You can observe the gap is increasing by 2 as the sequence progresses.

So the next term would be at the gap of 11 and the term would be 36.

There is another solution to this question :

1’s square = 1

2’s square = 4

3’s square = 9

4’s square = 16

5’s square = 25

So, next will be 6’s square = 36

Solve with any pattern, the answer will be 36.

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Answer:

1, 4, 9, 16, 25, 36, 49, 64

Step-by-step explanation:

1 + 3 = 4

4+ 5= 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

36 + 13 = 49

49 + 15 = 64