Find the first five terms of the recursive sequence defined by: a_(1)=-10 a_(n)=-a_(n-1)+2n Answer square disappointed square square square square

<p> To find the first five terms of the given recursive sequence, we will apply the recursive formula to the initial term repeatedly.<br /><br />The first term \(a_1\) is given as \(-10\).<br /><br />Using the recursive formula \(a_{n}=-a_{n-1}+2n\):<br />- For \(n=2\), we have \(a_{2} = -a_1 + 2 \times 2 = -(-10) + 4 = 14\).<br />- For \(n=3\), we have \(a_{3} = -a_2 + 2 \times 3 = -14 + 6 = -8\).<br />- For \(n=4\), we have \(a_{4} = -a_3 + 2 \times 4 = -(-8) + 8 = 16\).<br />- For \(n=5\), we have \(a_{5} = -a_4 + 2 \times 5 = -16 + 10 = -6\).<br /><br />So, the first five terms of the sequence are -10, 14, -8, 16, and -6.</p>