Question

Hello branlies.
My first question is Very interesting.
Please answer the question.
Question : Write the next two terms in the following sequence :
a) 1 , 5 , 14 , 30, ___ , ___
NO SPAM ❌​

Answer 1

Answer:

a) 1 , 5 , 14 , 30, 55, 91

how are you

Answer 2

Solution :

For the above part

Use formula = n (n+1 ) (2n +1 ) & put n = 1,2,3,4,5,6

6

For n = 1 = 1 ( 1+1 ) (2 (1) + 1 )

6

= 1 (2) (2+1) = 2(3) = 1

6 63

For n = 2 = 2(2+1) (2×2+1 )

6

= 2 (3) (4+1)

= 6( 5) = 5

6

For n = 3 = 3 (3+1) (2×3+1)

6

= 3 (4) (6+1) = 12 (7) = 14

6 6

For n = 4 = 4 (4+1) (2×4+1)

6

= 4(5) (8+1) = 20 (9) = 30

6

Now, for n = 5 = 5(5+1) (2×5+1 )

6

= 5 (6) (10 + 1)

6

= 5 (11) 55

For n = 6 = (6+1) (2×6 + 1 )

6

= 7 (12+1) = 7(13) = 91

Answer : 1, 5 , 14 , 30 , 55 , 91

___________

Hope it helps u.