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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Mathematics
Chapter
Sequences and Series

BITSAT 2020 · Mathematics · Sequences and Series

A student read common difference of an A. P. as -2 instead of 2 and...

A student read common difference of an A. P. as -2 instead of 2 and got the sum of first 5 terms as -5. Actual sum of first five terms is

Options

  1. A25
  2. B-25
  3. C-35
  4. D35

Correct answer

D. 35

Step-by-step solution

52{2a+4(−2)}=−5⇒2a=6∴\frac{5}{2}\{2 \mathrm{a}+4(-2)\}=-5 \Rightarrow 2 \mathrm{a}=6\therefore Actual sum =52{6+4(2)}=35=\frac{5}{2}\{6+4(2)\}=35
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