Answer:
d = 11
Step-by-step explanation:
Isolate the variable (d). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 5 to both sides
2d - 5 (+5) = 17 (+5)
2d = 17 + 5
2d = 22
Next, divide 2 from both sides
(2d)/2 = (22)/2
d = 22/2
d = 11
11 is your answer for d.
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Answer: 25
Step-by-step explanation:
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
We are only told that d=5 and a(12)=63 so:
53=a+5(12-1)
53=a+60-5
53=a+55
a=-2 now we have solved for a and we can say:
a(n)=-2+5(n-1) which neatened up....
a(n)=-2+5n-5
a(n)=5n-7
The above is the rule to find the value of the nth term.
