What is the missing number in the series 11, 12, 16,25, 41,66,----
Answers
Step-by-step explanation:
11
11+1*1=12
12+2*2=16
16+3*3=25
25+4*4=41
41+5*5=66
66+6*6=102.
Concept
One of the fundamental concepts in Arithmetic is sequence and series. A sequence is an itemized collection of components in which repeats of any kind are permitted, whereas a series is the total of all elements. One of the most common instances of sequence and series is an arithmetic progression.
Given
Given that the series 11, 12, 16,25, 41,66,
Find
We need to find the missing number in the series
Solution
So , According to the series ,
11, 12, 16,25, 41,66,----
Therefore, We can say that
Each Number is the preceding Number multiplied by the square of the Number in sequence.
We can see that
11+1*1 = 12
12+2*2 = 16
16+3*3 = 25
25+4*4 = 41
41+5*5 = 66
66+6*6 = 102
Hence the Missing number is 102
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