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deepaksoni
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Asked: 2021-05-09T22:11:26+05:30 In:

Problem 4: Write the sequence with nth term : (i) an = 3 + 4n

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.2
We have been given an sequence as :an=3+4n

Now we have to write the sequence with nth term

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 4 (1)

arithmetic progressionsclass 10thrd sharma
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    1. Guru

      Solution:

      Given:

      an = 3 + 4n

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

      a1 = 3 + 4.1 = 7

      a2 = 3 + 4.2 = 11

      a3 = 3 + 4.3 = 15

      a4 = 3 + 4.4 = 19

      ∴ The sequence is 7, 11, 15, 19

      We can see that,

      a2 – a1 = 11 – (7) = 4

      a3 – a2 = 15 – (11) = 4

      a4 – a3 = 19 – (15) = 4

      Since, the successive difference of list is same i.e 4

      ∴ The given sequence is in A.P

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