Q92 / 225 · JEE Main 2002 · Mathematics

Fifth term of a GP is 2, then the product of its 9 terms is

  • A
    256
  • Correct answer
    B
    512
  • C
    1024
  • D
    none of these

Solution

$\operatorname{ar}^4=2$ $\mathrm{a} \times \operatorname{ar} \times \mathrm{ar}^2 \times a r^3 \times \mathrm{ar}^4 \times \mathrm{ar}^5 \times a r^6 \times a r^7 \times a r^8$ $=a^9 r^{36}=\left(\operatorname{ar}^4\right)^9=2^9=512$

Hence, the correct answer is option: 'B'.

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