Write the phrase as an expression. 7 less than a number x
2 answers:
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3 - 
= 
- 7
First, simplify
to 
/ Your problem should look like: 3 - = - 7
Second, simplify to 
/ Your problem should look like: 3 - = - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like:
= b
Ninth, simplify to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18
Answer: b = 18
First, simplify
Second, simplify
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like:
Ninth, simplify
Tenth, switch sides. Your problem should look like: b = 18
Answer: b = 18
Answer:
The explicit form for this sequence is for all
.
Step-by-step explanation:
The explicit form of an arithmetic sequence of numbers is given by the formula , where
is the first term of the sequence,
is the difference between two consecutive terms of the sequence, and
.
We know that the first four elements for the arithmetic sequence are .
To find the general formula for this problem we only need to calculate in the above formula.
For n=2, we have
if we replace and
and solve for
we obtain
Therefore the explicit form is for all
.