Ex 5.2, 15 - For what value of n, are nth terms of two APs - Ex 5.2

  1. Chapter 5 Class 10 Arithmetic Progressions
  2. Serial order wise
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Ex 5.2 ,15 For what value of n, are the nth terms of two APs 63, 65, 67, and 3, 10, 17, equal 1st AP 63, 65, 67, We know that an = a + (n 1) d Hence, a = 63 d = 65 63 = 2 Putting these in formula an = a + (n 1) d = 63 + (n 1) 2 = 63 + 2n 2 = 61 + 2n Given that nth term of 1st AP = nth term of II AP 61 + 2n = 7n 4 61 + 4 = 7n 2n 65 = 5n 65/5 = n 13 = n n = 13

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