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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 defined by the nth term \( a_n = (-1)^{n-1} 5^{n+1} \), we will substitute values of \( n \) from 1 to 5 into the formula. ### Step 1: Calculate \( a_1 \) Substituting \( n = 1 \): \[ a_1 = (-1)^{1-1} \cdot 5^{1+1} = (-1)^0 \cdot 5^2 = 1 \cdot 25 = 25 \] ...
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