Question

insert 3 geometric means between 1 and 36​

Answer 1

Answer:

1,_,_,_,256

If r is the common ratio, then the first term is 1, the second is 1r, the next is 1r^2, the next term, which is the third geometric mean, is 1r^3, and the last term given is 1r^4 = 256. Since r^4=256 = 4^4, r = 4 or -4. The third geometric mean, which we represented by 1r^3=4^3=64 or (-4)^3= -64.

A faster way, is to look at the ratio: 256/1 =1r^4/1 . It takes 4 steps to increase exponentially by a factor of 256. So r=256^(1/4).

Ex: 6, _ , _ , _ , _ , 12. It takes 5 steps to increase by 2 (12/2). So r= 2^(1/5)

Answer 2

Step-by-step explanation:

A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, spatial relationships, or to introduce an object. Some examples of prepositions are words like "in," "at," "on," "of," and "to." Prepositions in English are highly idiomatic