f. \( \frac{2 \sqrt{72}}{3}-\frac{3 \sqrt{128}}{4}+5 \sqrt{\frac{1}{2}} \)

Find the recursive formula for the arithmetic sequence \( 7,5,3,1,-1, \ldots \) \( a_{1}=7, a_{n}=-2 a_{n-1} \) \( a_{1}=7, a_{n}=a_{n-1}+2 \) \( a_{1}=7, a_{n}=2 a_{n-1} \) \( a_{1}=7, a_{n}=a_{n-1}-2 \)

Simplify the expression. \( -19+\left(\frac{-4.5+6.87}{3}\right) \cdot 5^{2}-7.3 \)

Given the recursive formula for the geometric sequence \( a_{1}=5, a_{n}=\frac{2}{5} a_{n-1} \), find the second term of the sequence. (1 point) \( a_{2}=\frac{8}{5} \) \( a_{2}=2 \) \( a_{2}=\frac{2}{5} \) \( a_{2}=5 \frac{2}{5} \)

Simplify: \( -2 \sqrt{6}-3 \sqrt{54}+4 \sqrt{2}+3 \sqrt{32}-2 \sqrt{24} \)

One whole \( =\frac{3}{8}+\square \)