The next two numbers in the number pattern

Question:

The next two numbers in the number pattern 1, 4, 9,16, 25,… are

(a) 35, 48

(b) 36, 49

(c) 36, 48

(d) 35, 49

Solution:

(b) We have, 1,4, 9,16, 25, ….

The number pattern can be written as (1)2, (2)2, (3)2, (4)2, (5)2

Hence, the next two numbers are (6)2 and (7)2, i.e. 36 and 49.

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