Which of the following are APs? If they form an A.P. find the common difference $d$ and write three more terms.
$1, 3, 9, 27 \dots$

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Solution

Determine if the given series is in AP or not.
The given series is $1, 3, 9, 27 \dots$
The common difference is
$3 - 1 = 2 9 - 3 = 6 27 - 9 = 18$
Since, the common difference is not same every time.
Hence, the given series doesn’t form an A.P.

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Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. 1,3,9,27…

Determine if the given series is in AP or not.The given series is 1,3,9,27…The common difference is3-1=29-3=627-9=18Since, the common difference is not same every time.Hence, the given series doesn’t form an A.P.

Which of the following are APs? If they form an A.P. find the common difference $d$ and write three more terms.
$1, 3, 9, 27 \dots$

Determine if the given series is in AP or not.
The given series is $1, 3, 9, 27 \dots$
The common difference is
$3 - 1 = 2 9 - 3 = 6 27 - 9 = 18$
Since, the common difference is not same every time.
Hence, the given series doesn’t form an A.P.