College

Which represents the arithmetic means of the following sequence: ..., 3125, ___, ___, ___, 5?

A. 2125, 1345, 565
B. 2345, 1565, 785
C. 2455, 1675, 895

Answer :

The arithmetic means of the given sequence is 2455, 1675, 895

let the first term be u(0).

and, first term u(1) = 3124

We can use the recurring formula as:

u(n+1)=u(n)+d

u(1)=u(0)+d

and, u(0)=u(1)-d

and, u(0)=3125-d

Using the explicit relation

u(n)=u(0)+nd

u(5)=u(0)+5d

5=3125-d+5d

4d=-3120

d=-780

and, u(2)=u(1)-780

u(2) = 3125-780

u(2) = 2345

and, u(3)=2345-780

u(3) =1565

and, u(4)=1565-780

u(4) = 785

Learn more about Arithmetic Sequence here:

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