Find the sum of first 24 terms of on AP `t_(1),t_(2),t_(3),"....",` if it is known that `t_(1) + t_(5) + t_(10) + t_(15) + t_(20) + t_(24)=225.`

Explanation

To find the sum of the first 24 terms of an arithmetic progression (AP) given the condition \( t_1 + t_5 + t_{10} + t_{15} + t_{20} + t_{24} = 225 \), we can follow these steps:

### Step 1: Define the terms of the AP
Let the first term of the AP be \( a \) and the common difference be \( d \). The \( n \)-th term of the AP can be expressed as:
\[ t_n = a + (n-1)d \]

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