Question

Find the next two terms of the elements of the sequence 1, 8, 19, 32, 49

Answer 1

Answer:

1, 8, 19, 32, 49, 68, 91

Step-by-step explanation:

1, 8, 19, 32, 49

You can see the difference between 1 and 8 is 7, and the difference between 8 and 19 is 11, difference between 19 and 32 is 13, difference between 32 and 49 is 19. Thus , 7, 11, 13, 17, 19 are all prime numbers which is a whole number greater than 1 whose only factors are 1 and itself. The next two prime numbers are 19 and 23, so we can add 19 to 49 which the answer will be 68, and add 23 to 68 which the answer will be 91

Hope it helps ;)

Answer 2

Answer:The next element in the sequence is "68".

Step-by-step explanation:

The given sequence are:

1, 8, 19, 32, 49

8 = 1 + 7 = 8

19 = 8 + (7 + 4) = 19

32 = 19 + (11 + 2) = 32

49 = 32 + (13 + 4) = 49

∴ Next element (?) = 49 +  (17 + 2) = 49 + 19 = 68

Hence, the next element in the sequence is "68".