List the first five terms of the sequence. a1=6,an+1=ann

Substitute n=1 and a1=6 in the formula for an+1, to get a2=a11=61=6 Substitute n=2 and a2=6 in the formula for an+1, to get a3=a22=62=3 Substitute n=3 and a3=3 in the formula for an+1, to get a4=a33=33=1 Substitute n=4 and a4=1 in the formula for an+1, to get a5=a44=14 a1=6,a2=6,a3=3,a4=1,a5=14

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luipieduq3

Answered question

2021-11-23

List the first five terms of the sequence.

a_{1} = 6, a_{n} + 1 = \frac{a_{n}}{n}

Answer & Explanation

Walker Funk

Beginner2021-11-24Added 13 answers

Substitute

n = 1

and

a_{1} = 6

in the formula for

a_{n + 1}

, to get

a_{2} = \frac{a_{1}}{1} = \frac{6}{1} = 6

Substitute

n = 2

and

a_{2} = 6

in the formula for

a_{n + 1}

, to get

a_{3} = \frac{a_{2}}{2} = \frac{6}{2} = 3

Substitute

n = 3

and

a_{3} = 3

in the formula for

a_{n + 1}

, to get

a_{4} = \frac{a_{3}}{3} = \frac{3}{3} = 1

Substitute

n = 4

and

a_{4} = 1

in the formula for

a_{n + 1}

, to get

a_{5} = \frac{a_{4}}{4} = \frac{1}{4}

a_{1} = 6, a_{2} = 6, a_{3} = 3, a_{4} = 1, a_{5} = \frac{1}{4}

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