Geometric Sequence
What is the formula of getting the nth term of a geometric sequence?
an=a1(rn-1)
2,2,2,2,2,2,2,2
16
Insert a geometric mean between 6 and 69
+-3sqrt46
True or False
There can be a zero as one of the terms of a harmonic sequence.
False---It would be undefined
Every 3rd term of standard fibonacci is divisible by
What is r in the geometric series:
81,27,9,3
Find the sum of the first five terms of the geometric sequence:
1, 1/2, 1/4, 1/8, 1/16
31/16
Insert 2 geometric means between 5 and 625
25, 125
Find the next 3 terms of the harmonic sequence:
1/5, 1/10, 1/15
1/20, 1/25, 1/30
What is the sum of the first 15 odd terms of the Fibonacci Sequence? (Formula only)
F2(15) or F30
What is r in:
5, 5x+20, 5x2+40x+80
r=x+4
Find the fraction for 0.6767...
67/99
(0.67 + 0.0067 .......) and r=1/100
Insert a geometric mean between 2x-3 and 8x3-12x2
+-(4x2-6x)
Which n is 1/200 in the harmonic: 1/2, 1/5, 1/8
67
Sum of the first 10 odd terms of Fibonacci Sequence is:?
6765
a5=69, r=1/3 a2=?
a2=1863
What is the sum of all multiples of 5 between 69 and 420?
16975
Insert 2 geometric means between 8x+40 and x+5
4x+20, 2x+10
What is the first term of the harmonic sequence whose 3rd term is 4/9 and 7th term is 1/4?
8/11
F3=4, F5=10.4 find F1 and F2
1.6 and 2.4
What is x to make this a geometric Sequence:
x-2, 2x+2, 8x+8
x=5
A ball dropped from 50m above the ground bounces and retains 67% of its height. What is the total distance it traveled?
33.5, 22.445,.... and r=0.67 then add 50 at the end
a1=33.5
33.5/1-0.67 = 33.5/0.33 = 2(101.52) cuz up and down
203.04 +50=253.04
If the geometric mean of two numbers is 67 and the greater number is 420, what is the smaller number?
4489/420
Insert 3 harmonic means between (k+3)/(k-1) and (k+3)/(-7k+3)
F7=36 and F10=152 Find the 3rd 8th and 9th term
6, 58, 94