Question

Prove that the arithmetic sequence 5, 8, 11, ....
contains no perfect squares.​

Answer 1

Step-by-step explanation:

Given Prove that the arithmetic sequence 5, 8, 11, .... contains no perfect squares.​

• We need to prove that the arithmetic sequence 5,8,11 has no perfect squares.
• We have a = 5, d = 3
• So we have an = a + (n – 1) d
•                          = 5 + (n – 1) 3
•                          = 5 + 3n – 3
•                          = 3n + 2
• Now we get remainder as 1 or 0 when we divide a perfect square with 3. So we can divide 3m + 2 by 3 we get 2 as a remainder and hence it does not have any perfect square.

Reference link will be

https://brainly.in/question/2312126