The sum of 12 terms in an arithmetic sequence is 534, find the nth term if the 1st term is 6.
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The sum of 12 terms in an arithmetic sequence is 534, find the nth term if the 1st term is 6.
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answer:
to find the nth term:
a_{n} = a_{1} + (n-1)da
n
=a
1
+(n−1)d
to find the sum of the terms
s_{n} = \frac{n}{2} (2a_{1} +(n-1)d)s
n
=
2
n
(2a
1
+(n−1)d)