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Question

In an A.P the 12th term is 61 and common difference is 5 then find the series?

Options:
A .  6, 11, 16
B .  4, 7, 11
C .  5, 8, 11
D .  3, 9, 11
E .  None of these
Answer: Option A

 -  61 = a + (12 - 1) 5
a = 6
Series 6, 11, 16

An arithmetic progression (AP) is a sequence of numbers, in which each term is obtained by adding a fixed number, called the common difference (d), to the preceding term.
The common difference (d) of an AP is the difference between any two consecutive terms.
The nth term of an AP is represented by tn = a + (n1)d, where the first term of the AP is a and d is the common difference.
In the given problem, the 12th term is 61, and the common difference is 5. Therefore, the equation to find the 12th term is t12 = a + (121)5.
Solving the equation gives us a = 6.
Therefore, the series is 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61.
Therefore, the correct answer is Option A.


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