Below are the first six terms of a sequence: a1 = 8 a2 = 22 a3 = 50 a4 = 106 a5 = 218 a6 = 442 fill in the appropriate constant integer values to complete the recursive formula for the sequence.

Check the forward differences of the sequence:

22 - 8 = 14

50 - 22 = 28 = 2*14

106 - 50 = 56 = 4*14

218 - 106 = 112 = 8*14

442 - 218 = 224 = 16*14

The differences are the products of increasing powers of 2 and 14:

and so on, with

Then the sequence has the recursive definition,

i think the answer would be c

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours