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deepaksoni
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Asked: 2021-04-29T07:14:25+05:30 In:

Problem 1: Write the first terms of each of the following sequences whose nth term is(iv) an = (3n – 2)/ 5

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One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.1
We have to find the first term of given AP where we have nth term. (3n-2)/5 of that series.

CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 1 (iv)

class 10thrd sharma
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    1. Guru

      Solution:

      Given:

      By putting n = 1, 2, 3, 4, 5 we get first five term of the sequence

      a1 = (3 * 1 – 2)/5 = 1/5

      a2 = (3 * 2 – 2)/5 = 4/5

      a3 = (3 * 3 – 2)/5  = 7/5

      a4 = (3* 4 – 2)/5= 10/5 =2

      a5 = (3 * 5 – 2)/5 =13/5

      ∴ The first five terms are 1/5, 4/5, 7/5, 2, 13/5

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