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AP EAMCET · Maths · Sequences and Series

If a=1+2+4+ up to n terms, b=1+3+9+ up to n terms and c=1+5+25+ up to n terms, then Δ=a2b4c2222n3n5n=

  1. A 30n
  2. B 10n
  3. C 0
  4. D 2n+3n+5n
Verified Solution

Answer & Solution

Correct Answer

(C) 0

Step-by-step Solution

Detailed explanation

a=1+2+4+8+...+ upto n terms a=2n-1 b=1+3+9+...+ upto n terms ⇒b=3n-12 ⇒2b=3n-1 c=1+5+25+... t upto n terms ⇒c=5n-14 4c=5n-1 ∆=2n-13n-15n-12222n3n5n ∆=2n3n5n2222n3n5n-21111112n3n5n by splitting the determinant into two along the first row.…