Question

6. If a, b, c are in Arithmetic Progression (AP), then the value of a-b+c is:
a) a b)-b c) d)c​

Answer 1

Answer:,b,c are in AP. Note whenever 3 terms are given in AP assume them to be m-d,m,m+d.

a+b+c=3m=

3

2

 

m=

1

2

 

given a2,b2,c2 are in G.P.

so b4=a2×c2

m4=(m-d)2×(m+d)2

on solving we get, d2(d2-2m2)=0

d cannot be equal to 0 so (d2-2m2)=0

m=

1

2

 

thus d=±

1

√

2

 

using +/- value will give the same AP but opposite order so it wont affect the terms.

now a=

1

2

 

-

1

√

2

 

Explanation:

Answer 2

Explanation:

Sn=n/2(a+(n-1) d)

please don't forget to like.