Question

PLEASE HELP THIS IS VERY URGENT AND NEEDED I WILL GIVE 50 POINTS THIS IS ALGEBRA BTW

Answer 1

8825

Explanation:

C(n) = n/2 for even n

C(n) = 3n + 1 for odd n

Let's separate this into two sums of arithmetic series, one for even n and one for odd n.

Even n:

2/2 + 4/2 + 6/2 + 8/2 + ... + 96/2 + 98/2 + 100/2 =

= 1 + 2 + 3 + 4 + ... + 48 + 49 + 50

= (50)(51)/2

= 1275

Sn = n(a1 + an)/2

S_50 = 50(1 + 50)/2 = 1275

Odd:

(3 × 1 + 1) + (3 × 3 + 1) + (3 × 5 + 1) + ... + (3 × 95 + 1) + (3 × 97 + 1) + (3 × 99 + 1) =

= 4 + 10 + 16 + ... + 286 + 292 + 298

Sn = n(a1 + an)/2

S_50 = 50(4 + 298)/2 = 7550

1275 + 7550 = 8825