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leonid [27]
3 years ago
9

witch rule can you use to find the nth term of an arithmetic sequence in witch the common difference is 5 and a12=63

Mathematics
1 answer:
rewona [7]3 years ago
3 0
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.
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