Let

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

So, the base case is ok. Now, we need to assume
and prove
.
states that

Since we're assuming
, we can substitute the sum of the first n terms with their expression:

Which terminates the proof, since we showed that

as required
The answer is 2.22 if you divide it. Add the ingredients then divide on how many servings.
Answer:
3(2+15)= 3(2) + 3(15)
Step-by-step explanation:
This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
The total amount that the farmer want to make is $7000
amount he can make per acre of land is $2000, the amount he can make per acre will $1000. The variable representing peas and carrots are p and c retrospectively;
The total amount made from this can be represented by the equation below;
Total amount made by p acres of peas will be:
2000*p=$ 2000p
Total amount made by c acres of carrots:
1000*c=$1000c
Total amount will be given by:
2000p+1000c=7000
this can be simplified by dividing through by 1000 to get:
p+c=7
The correct answer is C.
The distance between these points are 6