If a , b ,c are in A. P, then a + c = ________. Question If a , b ,c are in A. P, then a + c = ________. in progress 0 Math Arya 3 weeks 2021-09-06T05:19:38+00:00 2021-09-06T05:19:38+00:00 2 Answers 0 views 0

## Answers ( )

Given a , b , c are in A.P , then a + c =

2bGeneral terms of an A.P are a , a+d , a+2d

denote these terms by a , b , c such that

a = a , b = a + d , c = a + 2d

Now we should find a + c

Since a + d is equal to b ,

Answer:Given:–AP – a, b, c

Tofind:–a+c

Solution:–a= a1

b= a1+d

c= a1+ 2d

a+ c = a1+(a1+2d)

= a1+a1+2d

= 2 a1 + 2d

= 2( a1+ d)

since a1 = a

therefore ,

## a+c = 2 (a+d)

since a+d = b

therefore ,

## a+c= 2b