Notes: `1/3, 2/9, 4/27, 8/81` Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Tuesday, November 29, 2016

$\displaystyle\frac{{1}}{{3}},\frac{{2}}{{9}},\frac{{4}}{{27}},\frac{{8}}{{81}}$ Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Numerator contains powers of 2 starting with $\displaystyle{{2}}^{{0}}={1}$ while the denominator contains powers of 3 starting with $\displaystyle{{3}}^{{1}}={3}.$ Therefore, the $\displaystyle{n}$ th term is

$\displaystyle{a}_{{n}}=\frac{{{2}}^{{{n}-{1}}}}{{{3}}^{{n}}}$

Notes

Tuesday, November 29, 2016

$\displaystyle\frac{{1}}{{3}},\frac{{2}}{{9}},\frac{{4}}{{27}},\frac{{8}}{{81}}$ Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

No comments:

Post a Comment

Is Charlotte Bronte's Jane Eyre a feminist novel?

Report Abuse

Tuesday, November 29, 2016

Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

No comments:

Post a Comment

Is Charlotte Bronte&#39;s Jane Eyre a feminist novel?

$\displaystyle\frac{{1}}{{3}},\frac{{2}}{{9}},\frac{{4}}{{27}},\frac{{8}}{{81}}$ Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Is Charlotte Bronte's Jane Eyre a feminist novel?