500,500,493,467,404,?
What will be replaced in question mark
Answers
Answered by
30
AnSwEr:—
ExplainaTion:—
»500-(1³-1)= 500-(1-1)=500-0=500
»500-(2³-1)=400-(8-1)=400-7=493
»493-(3³-1)=493-(27-1)=493-26=467
»467-(4³-1)=467-(64-1)=467-63=404
»404-(5³-1)= 404-(125-1)=404-124=280
Answered by
54
||✪✪ QUESTION ✪✪||
500,500,493,467,404, ?
What will be replaced in question mark ?
|| ✰✰ ANSWER ✰✰ ||
Number Series Important Points :-
- Number series is a sequence of numbers which is framed, using a particular system/rule, in which the numbers are not in a specific order.
- All we have to do is to find out the system/rule that a particular series is following and finding the number using that system/rule.
Lets Try To Find The Difference b/w The numbers First :-
→ (500 - 500) = 0
→ (500 - 493) = 7
→ (493 - 467) = 26
→ (467 - 404) = 63.
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Now, Lets Try to See The Correct Pattern of These Numbers :-
→ 0 = (1³ - 1) = 1 - 1
→ 7 = (2³ - 1) = 8 - 1
→ 26 = (3³ - 1) = 27 - 1
→ 63 = (4³ - 1) = 64 - 1
So, we can say That, we are subtracting (n³ - 1) Each Time .
we Get our Pattern.
So, Next Number We will subtract Now, will be = (5³ - 1) = 125 - 1 = 124.
So,
→ 404 - 124 = 280 . (Ans).
Hence, The correct Series will be :- 500, 500, 493, 467, 404 , 280 .
______________________________
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