Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. Round the common ratio and 19th term to the nearest hundredth.

a19 ≈ 9,195.53
a19 ≈ 31,035.73
a19 ≈ 13,185.66
a19 ≈ 20,690.49

Question

Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. Round the common ratio and 19th term to the nearest hundredth.
 	
	a19 ≈ 9,195.53
	a19 ≈ 31,035.73
	a19 ≈ 13,185.66
	a19 ≈ 20,690.49

callisto · Answer

common ratio
$$\sqrt[8]{358.80/14} =?$$

anonymous · Answer

to be honest idk how to solve that?

callisto · Answer

First, solve 358.80/14
What do you get?

anonymous · Answer

25.6285714

callisto · Answer

Now, use your calculator to solve
$$\sqrt[8]{25.62857143}$$

anonymous · Answer

1.4999975505

callisto · Answer

Now, r=common ratio
a19 = a1 [r^(n-1)]
       = 14 (1.49999755 ^ (19-1)]
       =  14 (1.49999755 ^ (18)]
       = ?

callisto · Answer

n is the no of term

anonymous · Answer

20689.878152782416417171686483306764932120668078659492

anonymous · Answer

would it be a19 ≈ 20,690.49? thats the closest answer

anonymous · Answer

would it be a19 ≈ 20,690.49? thats the closest answer

callisto · Answer

Isn't it 20689.88?
I don't know :|