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Find: 10th Term of the A.P. 1, 4, 7, 10, ...

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Question

Find:

 10th term of the A.P. 1, 4, 7, 10, ...

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Solution

1, 4, 7, 10...
We have:
a = 1
d =\[4 - 1 = 3\]

\[a_{10} = a + (10 - 1)d \left[ a_n = a + \left( n - 1 \right)d \right]\]

\[ = a + 9d \]

\[ = 1 + 9 \times 3 \]

\[ = 28\]

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