Question 6 of 44beginner🔧 ApplyMCQ1 mark

11th term of the AP: -3, -1/2, 2, . . . , is

Exercise: EXERCISE 5.2 | Q: 2(ii) | (Page Page 14)
For More Understanding

Explanation

To find the 11th term of the given AP, we first identify the first term and common difference. The first term a = -3. The common difference d = second term - first term = -1/2 - (-3) = -1/2 + 3 = 5/2. Using the formula for nth term of an AP: a_n = a + (n-1)d, we substitute n = 11 to get a_11 = -3 + (11-1) × (5/2) = -3 + 10 × (5/2) = -3 + 25 = 22. Therefore, option (B) 22 is correct.

Solution Steps

  1. Step 1: Identify first term a = -3 and common difference d = -1/2 - (-3) = 5/2

  2. Step 2: Apply nth term formula: a_n = a + (n-1)d

  3. Step 3: Substitute n = 11: a_11 = -3 + (11-1) × (5/2)

  4. Step 4: Calculate: a_11 = -3 + 10 × (5/2) = -3 + 25 = 22

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