find the sum of the first 25 terms of the arithmetic sequence 17,22,27,31...​

The sum of the first 25 terms of the sequence is 1925.Solution Step 1: Identify the given valuesFirst term (a) = 17Common difference (d) = 22 - 17 = 5Number of terms (n) = 25Step 2: Use the formula for the sum of an arithmetic sequenceSn = n/2 × (2a + (n – 1)d)Step 3: Substitute the valuesSn = 25/2 × [2(17) + (25 – 1)(5)]Sn = 25/2 × [34 + (24 × 5)]Sn = 25/2 × [34 + 120]Sn = 25/2 × 154Sn = (25 × 154) ÷ 2Sn = 3850 ÷ 2Sn = 1925

Answered by MaximoRykei | 2025-07-04