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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the missing number in the following sequence: 1 , 16 , _ , 100, 169
Solution:
Given, the sequence is 1, 16, ____, 100, 169
We have to find the missing number in the sequence.
Let the missing number be m.
From the series,
1 = 1 × 1
16 = 4 × 4
m2 = m × m
100 = 10 × 10
169 = 13 × 13
After expansion of the series, we find that
4 - 1 = 3
13 - 10 = 3
Similarly, m - 4 = 3
m = 4 + 3
m = 7
10 - m = 3
10 - 3 = m
m = 7
So,m2 = m × m
7 × 7 = 49
Therefore, the missing number is 49.
What is the missing number in the following sequence: 1 , 16 , _ , 100, 169
Summary:
The missing number in the following sequence: 1 , 16 , _ , 100, 169 is 49.
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