**How to find the indicated term from given nth term of the sequence ?**

Here we are going to see how to find the indicated term from given n^{th} term of the sequence

- To find the indicated term, we have to apply the indicated number instead of n.
- For example, if we want to find 5
^{th}term of the sequence, we have to apply 5 instead of n in the n^{th}term of the sequence.

Let us look into some example problems to understand the above concept.

**Example 1 :**

Find the indicated terms in each of the sequences whose nth terms are given by

a_{n} = (n + 2)/(2n + 3); a_{7} and a_{9}

**Solution :**

In order to find 7^{th} term and 9^{th} term, we have to apply 7 and 9 instead of n in the given n^{th} term of the sequence.

7 a n = 7 a a a |
9 a n = 9 a a a |

**Example 2 :**

Find the indicated terms in each of the sequences whose nth terms are given by

a_{n} = (-1)^{n} 2^{n + 3}(n + 1); a_{5} and a_{8}

**Solution :**

In order to find 5^{th} term and 8^{th} term, we have to apply 5 and 8 instead of n in the given n^{th} term of the sequence.

5 a n = 5 a a a a |
8 a n = 8 a = 1 ⋅ 2 a a |

**Example 3 :**

Find the indicated terms in each of the sequences whose nth terms are given by

a_{n} = 2n^{2} - 3n + 1; a_{5} and a_{7}

**Solution :**

In order to find 5^{th} term and 7^{th} term, we have to apply 5 and 7 instead of n in the given n^{th} term of the sequence.

5 a n = 5 a a a a a a |
7 a n = 8 a a a a a = 78 |

**Example 4 :**

Find the indicated terms in each of the sequences whose nth terms are given by

a_{n} = (-1)^{n} (1 - n + n^{2}); a_{5} and a_{8}

**Solution :**

In order to find 5^{th} term and 8^{th} term, we have to apply 5 and 8 instead of n in the given n^{th} term of the sequence.

5 a n = 5 a a a a |
8 a n = 8 a a a a |

After having gone through the stuff given above, we hope that the students would have understood how to find the indicated term from given nth term of the sequence.

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