Question

L²-(a/2)²,l²,l²+(a/2)² are three consecutive terms of an arithmetic sequence. what is the common difference?

Answer 1

Answer:

The common difference among all the terms is (a/2)².

Step-by-step explanation:

First term = l²-(a/2)² —— (i)

Second term = l² = {l²-(a/2)²}+(a/2)² = First term +(a/2)² —— (ii)

Third term = l²+(a/2)² = Second term + (a/2)² —— (iii)

From (i),(ii)&(iii)

Here, we can see that all the terms are increasing by (a/2)².

Therefore, the common difference among all the terms is

(a/2)²