How to find the nth term in an arithmetic sequence?

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Find the 53 term of the arithmetic sequence... 27,11,−5,....... Think about slots.... Slot 1 Slot 2 Slot 3 Slot n 27 11 -5 ? Let's write the explicit form: a = n a + 1 (n −1)d d Common difference a1 First element Term n
Ready!! a = n a + 1 (n −1)d a = n 27+(n −1)(−16) n = 53 a = 53 27+(53−1)(−16) a = 53 27+52(−16) a = 53 −805

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