Question

Determine whether the
sequences are otpor not? If yes
following
find the comon ratio
(i ) 2,1/2,1/8,1/32,........
(11)-12,-6,0 ,6,.......​

Answer 1

Step-by-step explanation:

for checking if the given terms are AP. or not , we check the difference of the terms, if it is same then the sequences are AP. otherwise not

checking the 1st sequence

a2-a1

$\frac{1}{2} - 2 =>$

$\frac{2 - 2}{2} => 0$

a3-a2

$\frac{1}{8} - \frac{1}{2} = >$

$\frac{1 - 4}{8} = \frac{ - 3}{8}$

here the difference is not same so , the 1st sequence is not an AP.

Checking 2nd sequence

we get that there is a common difference of 6.

so , 2nd term is an AP.

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