Find the 30th term of AP: 10, 7, 4, _______?
- -77
- 77
- -87
- None of these
Explanation
We are given an arithmetic progression (AP):
10, 7, 4, ...
Step 1: Identify the first term and common difference
First term a = 10
Common difference d = 7 - 10 = -3
Step 2: Use the formula for the nth term of an AP:
Tₙ = a + (n - 1) × d
Find the 30th term (T₃₀):
T₃₀ = 10 + (30 - 1) × (-3)
T₃₀ = 10 + 29 × (-3)
T₃₀ = 10 - 87 = -77
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