Question

would this sequence be arithmetic or geometric?

Answer 1

1 + 1/2 + 1/3 + 1/4 + 1/5

Answer 2

neither. There is no common difference or common ratio.

Answer 3

Well Do you know about HP i.e. Harmonic progression

Answer 4

why would it be neither?

Answer 5

if a1-a2 = a2-a3 , then they have a common "difference"

if a1/a2 = a2/a3 then they would have a common "ratio"

and with any luck i didnt get the backwards

Answer 6

for any sequence say a,b,c,...... to be in AP we have

b-a = c- b

This is not satisfied by given series

For being GP ,
we have

ac = b^2

This is also not satisfied by given series

HP
It is a type of progression in which the reciprocals of the terms are in AP

For example

1/x , 1/(x+2), 1/(x+4),......................

Answer 7

Clearly your series is HP

Answer 8

we can play with that some more

if a1 -2a2 + a3 = 0 ... its arith

if a1a3/a2^2 = 1 ... its geo

Answer 9

1, 1/2, 1/3, 1/4,............

The reciprocals of terms are
1, 2, 3, 4,.....

This is an AP

So the given series is an HP

Answer 10

ohh ok thanks!

Answer 11

Mention not.