What will be the 50th term in the following series? 20, 24, 28, 32, ....
216
The series is 20, 24, 28, 32, ... and we are asked for the 50th term.
Check whether it is an arithmetic progression by finding the common difference: 24 minus 20 is 4, 28 minus 24 is 4, and 32 minus 28 is 4.
So it is an arithmetic progression with first term a = 20 and common difference d = 4.
The formula for the nth term is \(a_n = a + (n-1)d\).
Substitute a = 20, d = 4 and n = 50: \(a_{50} = 20 + (50-1)\times 4\).
This becomes 20 + 49 times 4, which is 20 + 196.
Adding gives 216.
Therefore the 50th term is 216, matching the first option. The correct answer is 216.
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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.
