If fifth term of a G.P. is 4, then product of first nine terms is

9⁴

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4¹⁸

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4⁹

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18⁴

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Solution

The correct option is C
4⁹

a $r^{4}$ = 4 ....................................(1)

Product of first nine terms
= a .ar. a $r^{2}$ .............a $r^{8}$

= $a^{9}$ $r^{1 + 2 + . . . . . . . . . . . . . . . . + 8}$
= $a^{9}$ $r^{36}$
= ${({a r}^{4})}^{9}$

= $4^{9}$

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