Question 125Asked in BPSC TRE 2.0 (2023) Mathematics Class 9-10

The sum of n terms of the series √2 + √8 + √18 + √32 + … isश्रेणी √2 + √8 + √18 + √32 + … के n पदों का योग है

श्रेणी √2 + √8 + √18 + √32 + … के n पदों का योग है
  1. An(n + 1)/√2n(n + 1)/√2
  2. Bn(n + 1)/2n(n + 1)/2
  3. C2n(n + 1)2n(n + 1)
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (A) n(n + 1)/√2n(n + 1)/√2

Explanation

The terms are √2(1 + 2 + 3 + …), so the sum is √2 × n(n + 1)/2 = n(n + 1)/√2.पद √2(1 + 2 + 3 + …) हैं, अतः योग = √2 × n(n + 1)/2 = n(n + 1)/√2।

From BPSC TRE 2.0 (2023) Mathematics Class 9-10 — Previous Year Paper

This is question 125 of BPSC TRE 2.0 (2023) Mathematics Class 9-10 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.