Continue the sequences below and find an equation to each of them 1) 2 , 5 , 9

Shayla Osborne

Shayla Osborne

Answered question

2022-06-04

Continue the sequences below and find an equation to each of them
1) 2 , 5 , 9 , 14 , 20 , 27
2) 1 , 3 , 12 , 60 , 360 , 2520

Answer & Explanation

polomierzvxe4b

polomierzvxe4b

Beginner2022-06-05Added 3 answers

1) 2 , 5 , 9 , 14 , 20 , 27
T n = 2 + 3 + 4 + 5 + 6 + 7 +
T n = n 2 ( 2 a 1 + ( n 1 ) d )
= n 2 ( 2 × 2 + ( n 1 ) 1 )
= n 2 ( n + 3 )
a n = n ( n + 3 ) 2
a 7 = 7 ( 7 + 3 ) 2
= 7 ( 5 )
= 45 10 = 35
Pamela Huerta

Pamela Huerta

Beginner2022-06-06Added 1 answers

2) Given: 1 , 3 , 12 , 60 , 360 , 2520
1 = ( 1 + 1 ) ! 2
3 = ( 1 + 2 ) ! 2
12 = ( 1 + 3 ) ! 2
60 = ( 1 + 4 ) ! 2
360 = ( 1 + 5 ) ! 2
b n = ( 1 + n ) ! 2
Then, b 7 = 8 ! 2 = 20160

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