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
- a. n = 127
- b. n = 145
- c. n = 180
- d. n = 131
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.
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