-4 is also a geometric mean

if we consider a(first element in series)=1 and r(common ratio)=-4 then the series would be

1,-4,16,-64,256,…..,a(-4)^(n-1 )

where n is nth term

from this -4 would be the geometric mean if we consider -4 as common ratio .

If we consider 4 as common ratio then geometric mean should be 4

so you should mention whether common ratio >0 or not (r>0 or not) .

[without ‘r’ value you can’t solve the question but in general most of the teachers will consider r>0.]

So, -4 won’t be geometric mean of 1 & 16

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3 years ago

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For each of these relations on the set {21, 22, 23, 24}, decide whether it is reflexive, whether it is symmetric, whether it is

bonufazy [111]

Answer:

Step-by-step explanation:

I. { (22,22) , (22,23) , (22,24) , (23,22) , (23,23) , (23,24) }

Reflexive : True because we see the pairs (22,22) , (23,23)..

Symmetrix : NO, as we see the pairs (22,24) BUT NOT (24,22)

Transitive : YES, As we see (22,22 ) and (22, 24) , we see the pairs (22,24)

Antisymmetric : NO

II){ (21,21) , (21,22) , (22,21) , (22,22) , (23,23) , (24,24) }

Reflexive : True because we see the pairs (22,22) , (23,23) (21,21)

Symmetrix : Yes, as we see the pairs (21,22) AND (22,21)

Transitive : YES,

Antisymmetric : NO

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3 years ago

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By what number must you multiply a quantity in order to increase it by 25% in a single step?​

By what number must you multiply a quantity in order to increase it by 25% in a single step?