Algebra Examples

$t_{1} = 5$ , $t_{n} = t_{n - 1} - 3$

Step 1

Rewrite the equation as $t_{n - 1} - 3 = t_{n}$ .

$t_{n - 1} - 3 = t_{n}$

$t_{1} = 5$

Step 2

Move all terms not containing $t「+n-1」$ to the right side of the equation.

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Step 2.1

Subtract $t_{n - 1}$ from both sides of the equation.

$- 3 = t_{n} - t_{n - 1}$

$t_{1} = 5$

Step 2.2

Add $3$ to both sides of the equation.

$0 = t_{n} - t_{n - 1} + 3$

$t_{1} = 5$

$0 = t_{n} - t_{n - 1} + 3$

$t_{1} = 5$

Step 3

Rewrite the equation as $t_{n} - t_{n - 1} + 3 = 0$ .

$t_{n} - t_{n - 1} + 3 = 0$

$t_{1} = 5$