Notes: `1, 1/2, 1/6, 1/24, 1/120` Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Tuesday, April 15, 2014

$\displaystyle{1},\frac{{1}}{{2}},\frac{{1}}{{6}},\frac{{1}}{{24}},\frac{{1}}{{120}}$ Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Given 1, 1/2, 1/6, 1/24, 1/120

In this sequence the numerator of each term is 1. The terms in the denominator follow the n! (factorial) pattern. The expression for the nth them of the sequence is $\displaystyle{a}_{{n}}=\frac{{1}}{{{n}!}}$

$\displaystyle{a}_{{1}}=\frac{{1}}{{{1}!}}={1}$

$\displaystyle{a}_{{2}}=\frac{{1}}{{{2}!}}=\frac{{1}}{{2}}$

$\displaystyle{a}_{{3}}=\frac{{1}}{{{3}!}}=\frac{{1}}{{6}}$

$\displaystyle{a}_{{4}}=\frac{{1}}{{{4}!}}=\frac{{1}}{{24}}$

$\displaystyle{a}_{{5}}=\frac{{1}}{{{5}!}}=\frac{{1}}{{120}}$

Given 1, 1/2, 1/6, 1/24, 1/120

$\displaystyle{a}_{{1}}=\frac{{1}}{{{1}!}}={1}$

$\displaystyle{a}_{{2}}=\frac{{1}}{{{2}!}}=\frac{{1}}{{2}}$

$\displaystyle{a}_{{3}}=\frac{{1}}{{{3}!}}=\frac{{1}}{{6}}$

$\displaystyle{a}_{{4}}=\frac{{1}}{{{4}!}}=\frac{{1}}{{24}}$

$\displaystyle{a}_{{5}}=\frac{{1}}{{{5}!}}=\frac{{1}}{{120}}$

Notes

Tuesday, April 15, 2014

$\displaystyle{1},\frac{{1}}{{2}},\frac{{1}}{{6}},\frac{{1}}{{24}},\frac{{1}}{{120}}$ Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

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Is Charlotte Bronte's Jane Eyre a feminist novel?

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Tuesday, April 15, 2014

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?

$\displaystyle{1},\frac{{1}}{{2}},\frac{{1}}{{6}},\frac{{1}}{{24}},\frac{{1}}{{120}}$ 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?