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Simplifying Sn = 2a + (n + -1) * d Reorder the terms: nS = 2a + (-1 + n) * d Reorder the terms for easier multiplication: nS = 2a + d(-1 + n) nS = 2a + (-1 * d + n * d) nS = 2a + (-1d + dn) Solving nS = 2a + -1d + dn Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1dn' to each side of the equation. -1dn + nS = 2a + -1d + dn + -1dn Combine like terms: dn + -1dn = 0 -1dn + nS = 2a + -1d + 0 -1dn + nS = 2a + -1d Reorder the terms: -2a + d + -1dn + nS = 2a + -1d + -2a + d Reorder the terms: -2a + d + -1dn + nS = 2a + -2a + -1d + d Combine like terms: 2a + -2a = 0 -2a + d + -1dn + nS = 0 + -1d + d -2a + d + -1dn + nS = -1d + d Combine like terms: -1d + d = 0 -2a + d + -1dn + nS = 0 The solution to this equation could not be determined.
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