Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Answer:
30
Step-by-step explanation:
N/-2=-15
N= -15 times -2
N= 30
Answer:
<h3>
x=144</h3>
Step-by-step explanation:
h²=65²-25²=4225-625=3600
h²=x*25
x=h²:25
x=3600:25
<h3>
x=144</h3>
Answer:
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
