Question 5 of 44beginner🔧 ApplyMCQ1 mark

30th term of the AP: 10, 7, 4, . . . , is

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

Explanation

Option C is correct because the 30th term of the given AP is -77. The first term a = 10 and common difference d = 7 - 10 = -3. Using the formula for nth term of an AP: aₙ = a + (n-1)d, we get a₃₀ = 10 + (30-1)(-3) = 10 + 29(-3) = 10 - 87 = -77.

Solution Steps

  1. Step 1: Identify the first term and common difference: a = 10, d = 7 - 10 = -3

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

  3. Step 3: Calculate the 30th term: a₃₀ = 10 + (30-1)(-3) = 10 + 29(-3) = 10 - 87 = -77

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