Fibonacci and Harmonic Sequences

Arithmetic and Geometric

Arithmetic and Harmonic

Harmonic and Fibonacci

Geometric and Fibonacci

a_n = 1 / (a_1 + (n-1)d)

a_n = a_1 + (n-1)d

a_n = 1 / (a_1 * (n-1)d)

a_n = a_1 * (n-1)d

It is the difference of the arithmetic sequence

It is the reciprocal of the arithmetic sequence

It is the sum of the arithmetic sequence

It is the product of the arithmetic sequence

1, 1/2, 1/3, 1/4, 1/5

1/2, 1/4, 1/6, 1/8, 1/10

2, 4, 6, 8, 10

10, 8, 6, 4, 2

f_n = f_(n-1) * f_(n-2)

f_n = f_(n-1) - f_(n-2)

f_n = f_(n-1) / f_(n-2)

f_n = f_(n-1) + f_(n-2)

0 and 1

2 and 3

1 and 2

1 and 1

By dividing the second term by the first

By subtracting the first term from the second

By multiplying the first and second terms

By adding the first and second terms

4

3

2

1

By dividing the third term by the second

By multiplying the second and third terms

By subtracting the second term from the third

By adding the second and third terms

2

3

5

4