Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered fo
2 answers:
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Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie., and common difference=D
The nth term can be written as
pth term of given arithmetic progression is a
qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c
We have to prove that
Now to prove LHS=RHS
Now take LHS
ie.,
Therefore
ie.,
Hence proved
Answer:
Maggie will run 5.85 miles next week.
Step-by-step explanation:
Given:
Maggie is training to run a 6 mile race.
This week Maggie ran = 4.5 miles
Also Given:
Next week she will run 1.3 times as far as she did this week.
We need to distance she will run next week.
Now we know Next week she will run 1.3 times as far as she did this week.
It means Distance to be run next week will be equal to 1.3 times distance she ran this week.
Framing in equation form we get;
distance she will run next week =
Hence Maggie will run 5.85 miles next week.