Question

Deduce la formula del termino general de cada sucesión
1. A/n {2,4,6,8,10
1. A/n {5,10,15,20,25…}
2. A/n {4,9,14,19 ,29….}
3. A/n {1,4,9,16,25…}
4. A/n {0, 1/2, 1 , 3/2, 2, 5/2, 3…}

Answer 1

Explicación paso a paso:

1. A/n (2,4,6,8,10...)

(2, 4, 6, 8, 10, 12, 14...)

\/. \/ \/ \/. \/ . \/

+2 +2 +2. +2 +2 +2

A/n= 2

2. A/n [5,10,15,20,25...]

[ 5, 10,. 15,. 20,. 25,. 30...]

\/. \/. \/. \/. \/

+5. +5. +5. +5 +5

A/n= 5

3. A/n [4, 9, 14, 19, 29]

[ 4,. 9,. 14, 19, 29]

se intercalan los pares y los impares van sumando de 10

+10. +10. +10

A/n= 10

4. A/n [ 1,4, 9, 16, 25]

[ 1, 4, 9, 16, 25]

\/ \/. \/. \/. \/

1^2= 1

2^2= 4

3^2= 9

4^2= 16

5^2= 25

A/n= n^2

5. A/n [ 0, 1/2, 1, 3/2, 2, 5/2, 3]

los números pares aumentan de 1

los números impares aumentan de 1

A/n= 1