Question

What formula can be used of this sequence 2,7,24,59,118,207,332

Answer 1

Answer:

Answer:

Step-by-step explanation:

The series is a bit complex

\begin{gathered}2=1^{3} -(-1)\\\end{gathered}

2=1

3

−(−1)

\begin{gathered}7=2^{3} -1\\24=3^{3} -3\\59=4^{3} -5\\118=5^{3} -7\\207=6^{3} -9\end{gathered}

7=2

3

−1

24=3

3

−3

59=4

3

−5

118=5

3

−7

207=6

3

−9

So the number which is to be subtracted increases by 2 and the number which we cube increases by 1

Hence, the next number would appropriately be

\begin{gathered}7^{3} -11\\=343-11\\332(Ans).\end{gathered}

7

3

−11

=343−11

332(Ans).