Find the next number in the series: 1, 4, 9, 16, 25, ?
36
We must identify the rule that generates the series \(1, 4, 9, 16, 25, \ldots\)
Each term is a perfect square of consecutive natural numbers.
Check: \(1=1^{2},\ 4=2^{2},\ 9=3^{2},\ 16=4^{2},\ 25=5^{2}\).
The terms therefore correspond to \(1,2,3,4,5,\ldots\) squared.
The next natural number is \(6\), so the next term is \(6^{2}=36\).
An alternative check: the gaps between terms are \(3, 5, 7, 9\) (consecutive odd numbers), so the next gap is \(11\) and \(25+11 = 36\).
Hence the next number in the series is 36.
Similar Questions
What will be the 50th term in the following series?
20, 24, 28, 32, ....
A series is given with one term wrong. Select the wrong term from the given alternatives.
-913, -916, -924, -937, -955, -975, -1006, -1039
A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
11, 36, 147, ? , 1779, 5340, 21363
In the following question, four number pairs are given. In each pair the number on left side of (−) is related to the number of the right side of (−) with some Logic/Rule/Relation. Three pairs are similar on the basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits. E.g.13 − Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
Find the next element that replace the ? Logically
990, 1321, 1718, 2187, ?
Directions: Pick the correct options from below.
8, 18, 32, 50, ?
Identify the next number in the sequence.
8, 24, 48, 80, 120, ?
Which of the following numbers would replace the question mark (?) in the given number series?
11, 14, 19, 26, 35, ?
Find the next element that replace the ? Logically
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Find the next element that replace the ? Logically
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Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
