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The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term.
a1= 1/4
d= 1/4
an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get: an= 1/4 + 1/2n -1/2.
Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4. Hope this helps!
Let the number be x.
First student increased the number by 23, therefore
⇒ x + 23
Second student decreased the number by 1, therefore
⇒ x - 1
The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)
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Solve for x:
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x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5
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Answer: The number on the board is 5.
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168 / 8 = 21. It is in simplest form at 21.
Answer:
X=5
Step-by-step explanation:
2X+7=5X-8
7=3X-8
15=3X
5=X
