Write the next two numbers in the number pattern: $1,\ 4,\ 9,\ 16,\ 25......$
Given: A number pattern: $1,\ 4,\ 9,\ 16,\ 25$.
To do: To write the next two numbers in the given number pattern.
Solution:
Given number pattern: $1,\ 4,\ 9,\ 16,\ 25$.
First gap$=4-1=3$
Second gap$=9-4=5$
Third gap$=16-9=7$
Fourth gap$=25-16=9$
In each term, the gap increases by $2$.
Therefore, in fifth gap$=9+2=11$
Sixth gap$=11+2=13$
Thus, number next to $25=25+11=36$
Number next to $36=36+13=49$
Thus, the next two numbers in the given pattern are: $36,\ 49$.
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