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deepaksoni
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Asked: 2021-05-09T22:19:36+05:30 In:

Problem 4: Write the sequence with nth term :(iv) an = 9 – 5n

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This is arithmetic progression based question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise – 9.2

We have been given an sequence as :an=9-5n

Now we have to write the sequence with nth term

CBSE DHANPAT RAI PUBLICATIONS
Understanding CBSE Mathematics
Class :- 10th
Question no 4(iv)

arithmetic progressionsrd sharma
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    1. Guru

      Solution:

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

      a1 = 9 – 5.1 = 4

      a2 = 9 – 5.2 = -1

      a3 = 9 – 5.3 = -6

      a4 = 9 – 5.4 = -11

      ∴ The sequence is 4, -1, -6, -11

      We can see that,

      a2 – a1 = -1 – (4) = -5

      a3 – a2 = -6 – (-1) = -5

      a4 – a3 = -11 – (-6) = -5

      Since, the successive difference of list is same i.e -5

      ∴ The given sequence is in A.P

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