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Find: Nth Term of the A.P. 13, 8, 3, −2, ...

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Question

Find:

nth term of the A.P. 13, 8, 3, −2, ...

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Solution

13, 8, 3, −2...
We have:

\[a = 13\]

\[d = 8 - 13 = - 5\]

\[a_n = a + (n - 1)d\]

\[ = 13 + (n - 1)\left( - 5 \right)\]

\[ = 13 - 5n + 5\]

\[ = 18 - 5n\]

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