What is the nth term of this sequence 2 8 18 32 50?

Answer 1

The nth term is 2n2.

(One way to find that is to notice at all the numbers are even, then divide them by 2. The sequence becomes 1, 4, 9, 16, 25, which are the square numbers in order.)

Answer 2

To find the nth term of a sequence, we first need to determine the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by consecutive odd numbers (2, 4, 6, 8, etc.). The nth term of this sequence can be represented by the formula n^2 + 1. So, the nth term of the sequence 2, 8, 18, 32, 50 is n^2 + 1.

Answer 3

# in python

n = 10

for i in range(n):

print(i, i**2*2)

'''

0 0

1 2

2 8

3 18

4 32

5 50

6 72

7 98

8 128

9 162

'''