Answer:
r = - 4
Step-by-step explanation:
Given
- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )
4 - r = 8 ( subtract 4 from both sides )
- r = 4 ( multiply both sides by - 1 )
r = - 4
Answer:
4096
Step-by-step explanation:
.....................
Answer:
see the attached for the table and rules
Step-by-step explanation:
a) A graph of the given points shows they lie on the same line, one with a slope of 3 and a y-intercept of 2. Thus the rule is ...
y = 3x +2
see the attachment for table values
__
b) The ratios of given points are all the same: y/x = 5/2, so that is the constant of proportionality:
y = (5/2)x
see the attachment for table values
Answer:
a) 5
Step-by-step explanation:
Put them into slope intercept form AKA y=mx+b: -5=m1+b <em>and</em> 5=m3+b
Subtract the equations to get -10=-2m
Divide both sides by two to get: 5=m
Hope this helps! (^-^)
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
