Question
Are the given numbers $1, 3, 9, 27, ........$ forms an $AP$? If It forms an $AP$, then find the common difference $d$ and write the next three terms.
✓
Answer
From the given numbers, we can have
$ a_2-a_1=3-1=2$
$ a_3-a_2=9-3=6 $
$ a_4-a_3=27-9=18$
$\text { since } a_{k+1}-a_k \text { i.e. the common difference is not same for all values of } k$
Hence, it is not an AP. So, we can not find next three terms.
$ a_2-a_1=3-1=2$
$ a_3-a_2=9-3=6 $
$ a_4-a_3=27-9=18$
$\text { since } a_{k+1}-a_k \text { i.e. the common difference is not same for all values of } k$
Hence, it is not an AP. So, we can not find next three terms.
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