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