Quick easy Arithmetic Sequence question! (1 Viewer)

[LoveHateSchool]

If a,b,c,d,e are in arithmetic sequence, show that a+e=b+d=2c

I don't know how to show it?

 

[SpiralFlex]

Let us consider for demonstration,

(This is an A.P right?)

How do we know this, via the "term test."

Term 2 - Term 1 must equal Term 3 - Term 2. You should get a common difference, which should be the same. In this case, 2. More generally,

 

[asianese]

Not enough sleep spiral...t2 - t1 not t2/t1 =D

 

[SpiralFlex]

I must still have nightmares of the G.P I use to visit. He use to stick needles in Spiral's arm. Spiral cried.

 

[asianese]

Aheheheh goo1!

 

[LoveHateSchool]

Thanks Spi!