Q6 of 176 Page 9

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.
1, 3, 9, 27, ...

We have,

a₂ – a₁ = 3 – 1 = 2

a₃ – a₂ = 9 – 3 = 6

a₄ – a₃ = 27 – 9 = 18

i.e. a_k+1 – a_k is not same every time.

So, the given list of numbers does not form an AP.

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.

a, a², a³, a⁴, …..

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.

1², 2², 3², 4², …

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.

1², 5², 7², 7², …

Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.1, 3, 9, 27, ...