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

Answer 1

Answer:

36,49

Step-by-step explanation:

because first gap of 3 Is given then of 5 then of 7 then of 9 these are in a sequence so next gap will be of 11 and then of 13

Answer 2

Given data: The number pattern 1, 4, 9, 16, 25...

To Find: The next two numbers in the number pattern.

Solution:

Consider the given series, 1, 4, 9, 16, 25..

Here the first term of the series 1 is added with odd number 3, $1+3=4$

Second term of the series 4 is added with next odd number 5, $4+5=9$

Third term of the series 9 is added with next odd number 7, $9+7=16$

Fourth term of the series 16 is added with next odd number 9, $16+9=25$

Therefore, the odd numbers 3, 5, 7, 9 are added one by one with the numbers in the series.

The next number in the series after 25 is found by adding 25 with an odd number 11, $25+11=36$

The another number in the series is found by adding 36 with next odd number 13, $36+13=49$

Therefore, the next two numbers in the number pattern 1, 4, 9, 16, 25.. are (b) 36, 49.