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# Write the First Five Terms of the Following Sequences Whose Nth Terms Are: A_N = (2n - 3)/6 - CBSE Class 10 - Mathematics

#### Question

Write the first five terms of the following sequences whose nth terms are:

a_n = (2n - 3)/6

#### Solution

a_n = (2n - 3)/6

Here, the nth term is given by the above expression. So, to find the first term we use n = 1 we get

a_1 = (2(1) - 1)/6

= (2 -3)/6

= (-1)/6

Similarly, we find the other four terms,

Second term (n = 2)

a_2 = (2(2) - 3)/6

= (4 - 3)/6

= 1/6

Third term (n = 3)

a_3 = (2(3) - 3)/6

= (6 - 3)/6

= 3/6

=1/2

Fourth term (n = 4)

a_4 = (2(4) -3)/6

= (8 -3)/6

=5/6

Fifth term (n = 5)

a_5 = (2(5) -3)/6

= (10 - 3)/6

= 7/6

Therefore, the first five terms of the given A.P are

a_1 = (-1)/6, a_2 = 1/6 , a_3 = 1/2, a_4 = 5/6, a_5 = 7/6

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Solution Write the First Five Terms of the Following Sequences Whose Nth Terms Are: A_N = (2n - 3)/6 Concept: nth Term of an AP.
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