Solve -32=a_{n}(2+5)^2

$$- 32 = a _ { n } ( 2 + 5 ) ^ { 2 }$$

Solve for a_n

$$a_{n}=-\frac{32}{49}\approx -0.653061224$$

Steps for Solving Linear Equation

Add 2 and 5 to get 7.

$$-32=a_{n}\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$-32=a_{n}\times 49$$

Swap sides so that all variable terms are on the left hand side.

$$a_{n}\times 49=-32$$

Divide both sides by 49.

$$a_{n}=\frac{-32}{49}$$

Fraction \frac{-32}{49} can be rewritten as -\frac{32}{49} by extracting the negative sign.

$$a_{n}=-\frac{32}{49}$$