an=2a(n-1)-1

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Solution for an=2a(n-1)-1 equation:


Simplifying
an = 2a(n + -1) + -1

Reorder the terms:
an = 2a(-1 + n) + -1
an = (-1 * 2a + n * 2a) + -1
an = (-2a + 2an) + -1

Reorder the terms:
an = -1 + -2a + 2an

Solving
an = -1 + -2a + 2an

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '2a' to each side of the equation.
2a + an = -1 + -2a + 2a + 2an

Combine like terms: -2a + 2a = 0
2a + an = -1 + 0 + 2an
2a + an = -1 + 2an

Add '-2an' to each side of the equation.
2a + an + -2an = -1 + 2an + -2an

Combine like terms: an + -2an = -1an
2a + -1an = -1 + 2an + -2an

Combine like terms: 2an + -2an = 0
2a + -1an = -1 + 0
2a + -1an = -1

Reorder the terms:
1 + 2a + -1an = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 2a + -1an = 0

The solution to this equation could not be determined.

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