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deepaksoni
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Asked: 2021-05-09T22:14:08+05:30 In:

Problem 4: Write the sequence with nth term :(ii) an = 5 + 2n

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One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.2

We have been given an sequence as :an= 5+2n

Now we have to write the sequence with nth term

CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 4(ii)

class 10thrd sharma
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    1. Guru

      Solution:

      Now putting n = 1, 2, 3, 4 we get,

      a1 = 5 + 2.1 = 7

      a2 = 5 + 2.2 = 9

      a3 = 5 + 2.3 = 11

      a4 = 5 + 2.4 = 13

      ∴ The sequence is 7, 9, 11, 13

      We can see that,

      a2 – a1 = 9 – (7) = 2

      a3 – a2 = 11 – (9) = 2

      a4 – a3 = 13 – (11) = 2

      Since, the successive difference of list is same i.e 2

      ∴ The given sequence is in A.P

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