The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.

- 1,503,050

Step-by-step explanation:

Given that the sum of arithmetic sequence =

n/2[2a + (n-1)d]

Where;

n = 575

a = -4910

d = a i - a i-1  = 8

Substituting values;

575/2 [2(-4910) + (575 -1) 8]

575/2  [(-9820) + 4592]

=  - 1,503,050

what

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