Answer:
A) 10, 013/6
Step-by-step explanation:
The given arithmetic sequence {an } = {5/6 n + 2/3}
We need to find the 62th term, so plug in n = 62 in the above sequence, we get
S62 = { [tex]\frac{5}{6} .62 + \frac{2}{3}[/tex]
= {310/6 + 2/3}
= {155/3 + 2/3}
= (155 + 2)/3
S62 = 157/3
Now let's find the first term.
S1 = [5/6 (1) + 2/3]
S1 = [5/6 + 2/3]
S1 = (5 + 4)/6
S1 = 9/6
s1 = 3/2
The sum of the terms S62 = 62(3/2 + 157/3) divided by 2
= 31(9 + 314)/6
= 31(323)/6
= 10, 013/6
So the answer is A)10,013/6
Thank you.
