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Find which term is 383 from the following series, 5 + 8+ 11 + n.Question 10Answera.n = 127b.n = 145c.n = 180d.n = 131

Question

Find which term is 383 from the following series, 5 + 8 + 11 + n.

Question 10

Answer

  1. a. n = 127
  2. b. n = 145
  3. c. n = 180
  4. d. n = 131
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Solution

The given series is an arithmetic progression where the first term (a) is 5 and the common difference (d) is 3 (8-5 = 3).

The nth term of an arithmetic progression can be found using the formula:

nth term = a + (n - 1) * d

We know the nth term is 383, so we can set up the equation:

383 = 5 + (n - 1) * 3

Solving for n, we get:

378 = (n - 1) * 3

n - 1 = 378 / 3

n - 1 = 126

n = 126 + 1

n = 127

So, the 383rd term of the series is 127. Therefore, the answer is a. n = 127.

This problem has been solved

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