5 + 10 + 15 + 20 + … + 200 = ?
Answer और ExplanationAnswer and explanation
Answer: (C) 4100
5 + 10 + 15 + … + 200 एक AP है: a = 5, d = 5, l = 200।
n = 200 − 55 + 1 = 39 + 1 = 40
S = 402 × (5 + 200) = 20 × 205 = 4100
✓
योग 4100 है।
5 + 10 + 15 + … + 200 is an AP with a = 5, d = 5, l = 200.
n = 200 − 55 + 1 = 39 + 1 = 40
S = 402 × (5 + 200) = 20 × 205 = 4100
✓
The sum is 4100.
SMART APPROACH
5 को बाहर निकालें: 5 × (1 + 2 + … + 40) = 5 × 40 × 412 = 5 × 820 = 4100।
Take 5 common: 5 × (1 + 2 + … + 40) = 5 × 40 × 412 = 5 × 820 = 4100.
Source: MTS · 17 Feb 2025 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: MTS · 17 Feb 2025 · Shift 1. Solution by Prashant Sir, from Vijayastra.