11. Find the wrong term. 2,6,30,20,130,40,350,72
Answers
Given : 2,6,30,20,130,40,350,72
To Find : wrong term
Solution:
2 = 1³ + 1
6 = 2² + 2
30 = 3³ + 3
20 = 4²+ 4
130 = 5³ + 5
40 = 6² + 6 = 42 ( This is not satisfying )
350 = 7³ + 7
72 = 8² + 8
Wrong term is 40 which should be 42
Tₙ = n³ + n if n is odd
= n² + n if n is even
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Given :- Find the wrong term :- 2,6,30,20,130,40,350,72 .
Answer :-
→ 2,6,30,20,130,40,350,72 .
as we can see that all given numbers are even numbers .
so, using concept of prime numbers and composite numbers we get,
- Prime numbers = Numbers that have only 2 factors, 1 and themselves. Ex , 2, 3, 5, 7, _____
- Composite numbers = Numbers which have more than 2 factors . Ex. 4, 6, 8, 12 ________
so, from given terms we can conclude that,
- 2 is a prime number (Factors 1 and 2 only.)
- Rest terms are composite numbers .
hence, 2 is the wrong term in the series .
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