What is a1 of the arithmetic sequence for which a3=126
and a64=3,725
a
64
=
3
,
725
?

In an arithmetic sequence, every pair of consecutive terms differs by a fixed number c, so that the n-th term is given recursively by

Then for n ≥ 2, we have

and so on, up to

Given that and , we can solve for :

d. 9

step-by-step explanation:

54/12 = 4.5

sf = 4.5

so x = 2 · 4.5 = 9

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm