Question

49, 216 , 625 , 1024 , 729 , ?

a. 128 b. 512 c. 256 d. 324​

Answer 1

Explanation:

49, 216, 625, 1024, 729, ?

7^2, 6^3, 5^4, 4^5, 3^6

It follows from this that the base must be one less than 3 and the exponent one more than 6.

7, 6, 5, 4, 3 (x -1)

2, 3, 4, 5, 6 (y + 1)

Therefore, the required number is 2^7, that is, 128.

Answer: a. 128

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Answer 2

49, 216, 625, 1024, 729, 128

Step-by-step explanation:

According to the given series,

49, 216, 625, 1024, 729, ?

The series is based on a pattern. The pattern is,

First term in the series $= 49 = 7^2$

Second term $= (7-1)^{2+1} = 6^3 = 216$

Third term $= (6-1)^{3+1} = 5^4 = 625$

Fourth term $= (5-1)^{4+1} = 4^5 = 1024$

Fifth term $= (4-1)^{5+1} = 3^6 = 729$

Sixth term $= (3-1)^{6+1} = 2^7 = 128$

Hence, the missing term is 128.

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