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Write the first five terms of the seque...

Write the first five terms of the sequence whose `n^(t h)`terms are : `a_n=(-1)^(n-1)5^(n+1)`

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To find the first five terms of the sequence given by the formula \( a_n = (-1)^{n-1} \cdot 5^{n+1} \), we will substitute \( n = 1, 2, 3, 4, 5 \) into the formula. ### Step-by-Step Solution: 1. **Calculate \( a_1 \)**: \[ a_1 = (-1)^{1-1} \cdot 5^{1+1} = (-1)^0 \cdot 5^2 = 1 \cdot 25 = 25 \] ...
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