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deepaksoni
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Asked: 2021-04-30T07:28:21+05:30 In:

Problem 3: Find the next five terms of each of the following sequence given by:(iv) a1 = 4, an = 4an – 1 + 3, n > 1

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.1
We have to find the next five terms asked in the question where we have been given the first term and nth term as:- a1 = 4, an = 4an – 1 + 3, n > 1

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 3(iv)

arithmetic progressionsclass 10thrd sharma
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    1. Guru

      Solution:

      By putting n = 2, 3, 4, 5, 6 we get next five term of the sequence

      a2 = 4.a1  + 3 = 4.4 + 3 = 19

      a3 = 4.a2  + 3 = 4.19 + 3 = 79

      a4 = 4.a3  + 3 = 4.79 + 3 = 319

      a5 = 4.a4 + 3 = 4.319 + 3 = 1279

      a6 = 4.a5 + 3 = 5.1279 + 3 = 5119

      ∴ The next five terms are 19, 79, 319, 1279, 5119

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