Question

Calculate s62 for the arithmetic sequence

Answer 1

A) 10, 013/6

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 = {
`(5)/(6) .62 + (2)/(3)`

= {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.