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If n^(th) term of an ap is (3+n)/(4) f...

If `n^(th)` term of an ap is `(3+n)/(4)` find its `8^(th)` term

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To find the 8th term of the arithmetic progression (AP) where the nth term is given by the formula \( T_n = \frac{3 + n}{4} \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nth term formula**: We are given that the nth term of the AP is \( T_n = \frac{3 + n}{4} \). 2. **Substitute n for the 8th term**: To find the 8th term, we need to substitute \( n = 8 \) into the formula. \[ T_8 = \frac{3 + 8}{4} \] 3. **Calculate the numerator**: Simplify the expression in the numerator. \[ T_8 = \frac{11}{4} \] 4. **Final Result**: Therefore, the 8th term of the AP is \[ T_8 = \frac{11}{4} \]
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