Answer:
9,16,25,36, 64 , 28
Step-by-step explanation:
LIn the given sequence the emphasis is to be laid on the difference between the successive terms.
Let me illustrate how the series is formed
9 - 4 = 5
16 - 9 = 7
25 - 16 = 9
36 - 25 = 11
36 - 64 = 28
Hence the whole sequence breaks over here.
Hence the some term is missing between 36 and 64.
So the next difference has to be the odd number following 11 ie 13.
Hence the missing term is 36 + 13 =49
If 49 is inserted then
64 - 49 = 15 and it follows the sequence.
Hence the series comes out to be
4, 9, 16, 25, 36, 49, 64 and so on.
Second Approach
It reflects the some other type of interpretation.
The given sequence is a square of the natural integers from 2 to 8.
The missing term is 7 and the series follows the sequence
2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2
4, 9, 16, 25, 36, 49, 64
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Answers & Comments
Answer:
9,16,25,36, 64 , 28
Step-by-step explanation:
LIn the given sequence the emphasis is to be laid on the difference between the successive terms.
Let me illustrate how the series is formed
9 - 4 = 5
16 - 9 = 7
25 - 16 = 9
36 - 25 = 11
36 - 64 = 28
Hence the whole sequence breaks over here.
Hence the some term is missing between 36 and 64.
So the next difference has to be the odd number following 11 ie 13.
Hence the missing term is 36 + 13 =49
If 49 is inserted then
64 - 49 = 15 and it follows the sequence.
Hence the series comes out to be
4, 9, 16, 25, 36, 49, 64 and so on.
Second Approach
It reflects the some other type of interpretation.
The given sequence is a square of the natural integers from 2 to 8.
The missing term is 7 and the series follows the sequence
2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2
4, 9, 16, 25, 36, 49, 64