-9-by-combining-an-arithmetic-rule-for-magnitude-with-an-alternating-sign-factor

Question

Find the explicit formula for the sequence {3,−5,7,−9,⋯ }\{3, -5, 7, -9, \cdots\} by combining an arithmetic rule for the magnitude with an alternating sign factor.

Accepted Answer

an=(2n+1)(−1)n+1a_n = (2n + $$1)(-1)^{n+1}$$

Answer

an=3+(n−1)(−8)a_n = 3 + (n - 1)(-8)

Answer

an=(−1)n+1(n2+2)a_n = $$(-1)^{n+1}$(n^2 + 2)$$

Answer

an=(−1)n(2n−1)a_n = (-1)^n(2n - 1)

Find the explicit formula for the sequence {3,−5,7,−9,⋯}\{3, -5, 7, -9, \(\cdots\)\} by combining an arithmetic rule for the magnitude with an alternating sign factor.

Find the explicit formula for the sequence ${3, - 5, 7, - 9, \dots}$ by combining an arithmetic rule for the magnitude with an alternating sign factor.