We have an arithmetic progression:
Nth=an
an=a₁+(n-1)d
a₁ is the first term.
n=number of terms.
d=common difference
10,17,24,31...
a₁=10
d=a₂-a₁=17-10=7
Therefore:
Nth=an
an=a₁+(n-1)d
an=10+(n-1)7
an=10+7n-7
an=7n+3.
Therefore: the formula for the nth is, an=a+(n-1), in this case; an=7n+3,
To check:
a₁=7*1+3=10
a₂=7*2+3=17
a₃=7*3+3=24
a₄=7*4+3=31
a₅=7*5+3=38.......
Penny- 3g
nickel-5g
dime- 2g
quarter-6g
half dollar- 11g
Answer:
1kg of salami cost $9.1
Step-by-step explanation:
Hailey paid $13 for 1 3/7 kg of sliced salami.
What was the cost per kilogram of salami?
Cost of 1 3/7 kg of sliced salami=$13
1 3/7 kg=10/7kg
Let x=1 kg of sliced salami
10/7 kg of x=$13
$13=10/7x
13=10/7*x
x=13 ÷ 10/7
=13×7/10
=91/10
=9.1
x=$9.1
Therefore, 1kg of salami cost $9.1