Make an equation and then solve it, show all your work.
1 answer:
The equation appears to be made already.
Using the Order of Operations, consider what operations are being done to the variable "c". They are
• divide c by 4
• add -5 to the quotient.
To find the value of "c", we "undo" these operations in reverse order. To undo the addition of a number, we add the opposite of the number. So, we will first
• add 5 to the equation
This gives
Now, the next operation that we need to undo is the division by 4. We can undo that by multiplying the equation by 4. So, we will next
• multiply the equation by 4
This gives
The solution is c = 36.
Using the Order of Operations, consider what operations are being done to the variable "c". They are
• divide c by 4
• add -5 to the quotient.
To find the value of "c", we "undo" these operations in reverse order. To undo the addition of a number, we add the opposite of the number. So, we will first
• add 5 to the equation
This gives
Now, the next operation that we need to undo is the division by 4. We can undo that by multiplying the equation by 4. So, we will next
• multiply the equation by 4
This gives
The solution is c = 36.
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1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
