🧮 सरल गणित / Reasoning, 📖बैंकिंग की तैयारी Image & Post

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#🧮 सरल गणित / Reasoning #📖बैंकिंग की तैयारी #📰GK & करेंट अफेयर्स Students💡 #📚एजुकेशन टिप्स & ट्रिक्स✍ #📚प्रतियोगी परीक्षा विशेष🏆

🧮 सरल गणित / Reasoning - SUM OF SOME SPECAL SERTES n(n + 1) Sum of first n natural numbers 1 + 2 + 3 + n 2 4 Sum of first n odd numbers n? +3 + 5 + n-1) 1 n(n + 1)(2n + 1) Sum of squares of first n natural numbers 6 12 22 32 n2 + + + Sum of squares of first n odd n(4n2 -1) numbers 3 (2n-1)2 12 32 5२ + + + ೨೦ Zn(n + 1)(Zn + 1) Sum of squores of first n even numbers 3 22 (2^)2 42 62 + + 4 ೨೦ೂ 1(1 + 1) 2 Sum of cubes of firsT n narural numbers 2 13+ 23 33 n3 + 4 + n?(2n2-1) Sum of cubes of firsr n odd nafurol numbers (2n-1)3 13+ 33 53 + + + 2n?(n+1)2 Sum of cubes of first n even natural numbers 23+ (2n)' 63 4 + 4 SUM OF SOME SPECAL SERTES n(n + 1) Sum of first n natural numbers 1 + 2 + 3 + n 2 4 Sum of first n odd numbers n? +3 + 5 + n-1) 1 n(n + 1)(2n + 1) Sum of squares of first n natural numbers 6 12 22 32 n2 + + + Sum of squares of first n odd n(4n2 -1) numbers 3 (2n-1)2 12 32 5२ + + + ೨೦ Zn(n + 1)(Zn + 1) Sum of squores of first n even numbers 3 22 (2^)2 42 62 + + 4 ೨೦ೂ 1(1 + 1) 2 Sum of cubes of firsT n narural numbers 2 13+ 23 33 n3 + 4 + n?(2n2-1) Sum of cubes of firsr n odd nafurol numbers (2n-1)3 13+ 33 53 + + + 2n?(n+1)2 Sum of cubes of first n even natural numbers 23+ (2n)' 63 4 + 4 - ShareChat