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a tree branch has 5 bonds. each day 2 more buds sprout. How many buds are on the tree brach after the first 5 days?

Respuesta :

frika

A tree branch has 5 bonds and each day 2 more buds sprout. Then

  • after first day the tree will have 5+2=7 bonds;
  • after second day the tree will have 7+2=9 bonds;
  • after third day the tree will have 9+2=11 bonds;
  • after fourth day the tree will have 11+2=13 bonds;
  • after fifth day the tree will have 13+2=15 bonds.

Answer: 15 bonds.

Mathematically, this is an arithmetic sequence with [tex]a_1=5[/tex] and [tex]d=2.[/tex]

Th n-th term can be found using formula

[tex]a_n=a_1+(n-1)d.[/tex]

Then

[tex]a_6=5+(6-1)2=5+5\cdot 2=5+10=15.[/tex]

Here you have to find [tex]a_6[/tex], because after 1st day you get [tex]a_2[/tex] and so on, after 5th day you get [tex]a_6[/tex]

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