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Example: nth term of AP - 2 Video Lecture | Crash Course: Class 10
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FAQs on Example: nth term of AP - 2 Video Lecture - Crash Course: Class 10
| 1. What is the nth term of an arithmetic progression (AP)? |  |
Ans. The nth term of an arithmetic progression (AP) can be calculated using the formula: $a_n = a + (n-1)d$, where $a$ is the first term of the AP and $d$ is the common difference.
| 2. How do you find the common difference in an arithmetic progression? | |
Ans. The common difference in an arithmetic progression can be found by subtracting any term from its preceding term. For example, if the second term is given as $a_2$ and the first term is given as $a_1$, then the common difference $d$ can be calculated as $d = a_2 - a_1$.
| 3. Can the nth term of an AP be a decimal or a fraction? | |
Ans. Yes, the nth term of an arithmetic progression can be a decimal or a fraction. The formula $a_n = a + (n-1)d$ can be used to calculate the nth term for any value of $n$, including decimal or fraction values.
| 4. How can the nth term of an AP be used to find the sum of the first 'n' terms? | |
Ans. The nth term of an arithmetic progression can be used to find the sum of the first 'n' terms by using the formula: $S_n = \frac{n}{2}(2a + (n-1)d)$, where $S_n$ represents the sum of the first 'n' terms, $a$ is the first term, $d$ is the common difference, and $n$ is the number of terms.
| 5. Can the nth term of an AP be negative? | |
Ans. Yes, the nth term of an arithmetic progression can be negative. The sign of the nth term depends on the values of the first term and the common difference. If the common difference is negative or the first term is negative, then the nth term can be negative as well.
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