The sum could be greater than 1 but not equal to 1.
Answer:
<h3>1</h3>
Step-by-step explanation:
Sum of nth term of a GP is expressed as;
Sn = a(r^n-1)/r-1
The sum of the first 8 terms of a GP is expressed as;
S8 = a(r^8 - 1)/r-1
The sum of first 4 terms is expressed as;
S4 = a(r^4 - 1)/r-1
If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then
S8 = 5S4
a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]
r^8 - 1 = 5(r^4 - 1)
r^8 - 1 = 5r^4 - 5
r^8 - 5r^4 = -5+1
r^4(r^4 - 5) = -4
r^4 - 5 = -4
r^4 = -4+5
r^4 = 1
r = 1
Hence the common ratio is 1
Answer:
a) 9r=63
b) 14 mi/h
Step-by-step explanation:
Let say r the speed of the slower cyclist,
2*r the speed of the faster cyclist,
they meet 3 hours later:
a)
<u> (r+2*r)*3=63 </u>
3r*3=63
9r=63
r= 63/9
r=7 (mi/h)
b)
<u>2r=14 (mi/h)</u>
You can find the simplest form by dividing both the numerator and denominator by the GCF (greatest common factor). 100 divides into 100 and 1,000 equally so that can be the GCF used to reduce the fraction into its simplest form.
![\frac{100/100}{1000/100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%2F100%7D%7B1000%2F100%7D%20%20)
![\frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20%20)
The simplest form is
.