If fifth term of g.p. is 2. find the product of first nine term of g.p

1.	If fifth term of g.p. is 2. find the product of first nine term of g.p.
Answer» a = first term r = COMMON RATIO $T_5 = ar^4 = 2 \\ \\ P_9 = a(ar)(ar^2)(ar^3)(ar^4)(ar^5)(ar^6)(ar^7)(ar^8) \\ \\ = a^9r^{36} \\ \\ = (ar^4)^9 = 2^9 = 512$ 512 is the answer. Hope this MAY be helpful. Please MARK my answer as the brainliest if this may be helpful. Thank you. Have a nice DAY.

If fifth term of g.p. is 2. find the product of first nine term of g.p.

Answer»

a = first term

$T_5 = ar^4 = 2 \\ \\ P_9 = a(ar)(ar^2)(ar^3)(ar^4)(ar^5)(ar^6)(ar^7)(ar^8) \\ \\ = a^9r^{36} \\ \\ = (ar^4)^9 = 2^9 = 512$

512 is the answer.

Hope this MAY be helpful.

Please MARK my answer as the brainliest if this may be helpful.

Thank you. Have a nice DAY.

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If fifth term of g.p. is 2. find the product of first nine term of g.p.

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