Question

Prove that for any four consecutive terms of an arithmetic sequence, the sum of the two terms on the two ends and the sum of the two terms in the middle are the same​

Answer 1

Step-by-step explanation:

let the no. be 'x' then the consecutive no. will be

x,x+1,x+2,x+3

x+(x+3)=2x+3

x+1+(x+2)=2x+3

Hence proved