Math, asked by acharyvikash2156, 1 year ago

If the third term of a gp is 4 then the product of its 5 terms is??

Answers

Answered by cgoenka2402
9
let the first term be a and ratio be r
Then ar^2=4
product of 5 terms = a ×ar .....ar^4 =a^5r^10
a^5r^10 =(ar^2)^5
from value of ar^2=4
ans = 4^5
=1024
Answered by svptxb66sohams
0

Answer:

your solution is as follows

pls mark it as brainliest

Step-by-step explanation:

to \: find :  \\ product \: of \: first \: terms \: of \:  \\ certain \:  \\  \\ for \: a \: certain \: GP \\ let \: its \: first \: five \: terms \: be \\ a \: ,ar \: ,ar {}^{2}  \: ar {}^{3}  \: ,ar {}^{4}  \\  \\ according \: to \: given \: condition \\ ar {}^{2}  = 4 \\  \\ therefore \: then \\ a \times ar \times ar {}^{2}  \times ar {}^{3}  \times ar {}^{4}  = k \\  \\  = a {}^{5} .r {}^{1 + 2 + 3 + 4}  \\  \\  = a {}^{5} .r {}^{10}  \\  \\  =( ar {}^{2}  \: ) {}^{5}  \\  \\  = (4) {}^{5}  \\  \\  = 4 {}^{2} .4 {}^{2} .4 \\  \\  = 16 \times 16 \times 4 \\  \\  = 256 \times 4 \\  \\ k = 1024

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