Yes. <u>Integers are </u><em><u>whole numbers</u></em><u>.</u> Since 10 & -10 are whole numbers (they have no fractional part), this means that they are integers.
The defining characteristic of all geometric sequences is a common ratio which is a constant when dividing any term by the term preceding it.
In this case the common ratio is: -6/9=4/-6=r=-2/3
An infinite series will have a sum when r^2<1, so in this case the sum will converge to an actual value because (-2/3)^(+oo) approaches zero.
The sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r), since we have a common ratio of -2/3 and we want to calculate an infinite series, ie, n approaches infinity, the sum becomes simply:
s(n)=a/(1-r) (because (1-r^+oo) approaches 1 as n approaches +oo)
So our infinite sum is:
s(+oo)=9/(1--2/3)
s(+oo)=9/(1+2/3)
s(+oo)=9/(5/3)
s(+oo)=27/5
s(+oo)=54/10
s(+oo)=5.4
Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
<u>2</u><u>0</u><u>×</u><u>8</u><u>/</u><u>8</u><u>×</u><u>1</u><u>/</u><u>8</u>
=160 min or 2.6 hrs
Assuming you want to solve for a, then
ad - 7 = y (reversing the equation to have a on left side )
add 7 to both sides to isolate the term with a
ad = y + 7 ( divide both sides by d )
a = 
Answer:
20
Step-by-step explanation:
Riyas score = ( correct answer × mark) + ( incorrect answer × mark lost )
= ( 3× 10) + ( -1 ×10 )
= 30 -10
=20
