Math, asked by jayeshtak711, 11 months ago

find G.P. -If a=2/3,t6=162,find r​

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Answers

Answered by Anonymous
43

Answer:

Mate plzz see the attachment,

R= 3

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Answered by wifilethbridge
15

Answer:

r=3

Step-by-step explanation:

First term = a = \frac{2}{3}

Formula of nth term of GP = T_n = ar^{n-1}

where a is the first and r is the common ratio

Substitute n = 6

T_6= ar^{6-1}

T_6= \frac{2}{3}r^{6-1}

We are given that T_6 = 162

162= \frac{2}{3}r^{5}

162 \times \frac{3}{2}= r^{5}

243= r^{5}

243^{\frac{1}{5}}= r

3= r

So, the value of r is 3

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