Question

Find the 7th term of the sequence 2, 9, 28, 65, 126, 217

Answer 1

Answer:

This is a number series of sum of a cube and 1

2 = 1*1*1 +1

9= 2*2*2+2

28 = 3*3*3+1

65= 4*4*4+1

126=5*5*5+1

217=6*6*6+1

344= 7*7*7+1

So next number will be

8*8*8+1 =513

Answer 2

Given:

A sequence: 2, 9, 28, 65, 126, 217

To find:

The 7th term of the sequence

Solution:

We can find the solution by following the given steps-

We know that the sequence is based on a certain pattern that has been followed throughout.

The terms are formed as the cube of the first six natural numbers+1.

The first term is 2 which is formed by adding the cube of the first natural number and one.

2= 1³+1 =1+1

Similarly, all the other terms are-

9=2³+1 =8+1

28=3³+1= 27+1

65=4³+1=64+1

126=5³+1=125+1

217=6³+1=216+1

So, the 7th term would be the cube of 7 plus 1.

The 7th term= 7³+1

=343+1

=344

Therefore, the 7th term of the sequence is 344.