Solve 10000(1.1+1.1^2+1.1^3+1.1^4+1.1^5)

$$10000(1.1+ { 1.1 }^{ 2 } + { 1.1 }^{ 3 } + { 1.1 }^{ 4 } + { 1.1 }^{ 5 } )$$

Evaluate

$$67156.1$$

Solution Steps

Calculate 1.1 to the power of 2 and get 1.21.

$$10000\left(1.1+1.21+1.1^{3}+1.1^{4}+1.1^{5}\right)$$

Add 1.1 and 1.21 to get 2.31.

$$10000\left(2.31+1.1^{3}+1.1^{4}+1.1^{5}\right)$$

Calculate 1.1 to the power of 3 and get 1.331.

$$10000\left(2.31+1.331+1.1^{4}+1.1^{5}\right)$$

Add 2.31 and 1.331 to get 3.641.

$$10000\left(3.641+1.1^{4}+1.1^{5}\right)$$

Calculate 1.1 to the power of 4 and get 1.4641.

$$10000\left(3.641+1.4641+1.1^{5}\right)$$

Add 3.641 and 1.4641 to get 5.1051.

$$10000\left(5.1051+1.1^{5}\right)$$

Calculate 1.1 to the power of 5 and get 1.61051.

$$10000\left(5.1051+1.61051\right)$$

Add 5.1051 and 1.61051 to get 6.71561.

$$10000\times 6.71561$$

Multiply 10000 and 6.71561 to get 67156.1.

$$67156.1$$

Factor

$$\frac{11 \cdot 61051}{2 \cdot 5} = 67156\frac{1}{10} = 67156.1$$