Question

2, 7, 24, 59, 118, 207 formula

Answer 1

Answer:

the formula is (n^3-2n-1)

Answer 2

Answer:

Since, the given series is given as:

2, 7, 24, 59, 118, 207

We have to find the formula for the given series;

We will first note the difference of each of the term in the series.

The difference which we will be getting is 5 , 17 , 35 , 89 ,

Now, to make the things more clearer, we will find the second difference;

The second difference would be 12 18 24 30 ........

We have got the formula; in the third difference, the difference between all the terms are 6.

So, the difference formula would be 5 + $6 \times 2$ ,

17 +  $6 \times 3$ , 24 + $6 \times 4$ + ...so on

So, the terms would be represented by 2 + 5 + $6 \times 2$ , 7 + 17 +  $6 \times 3$ .....and so on

So, the formula would be = first term + first difference + $6 \times n$

for n$n \geq 2$