James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence 1,3,5,7,… 1 , 3 , 5 , 7 , … meaning there was 1 1 new branch at 0 0 years, 3 3 new branches at 1 1 year, 5 5 new branches at 2 2 years, and so on. if f(n) f ( n ) represents the sequence, determine the number of new branches the tree will have at 10 10 years. enter the value of f(n) f ( n ) at f(10). f(10)= [] ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ f ( 10 ) = [blank] _ branches

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

= a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

f(n) = 1 + 2(n - 1)

f(n) = 1 + 2n - 2

f(n) = 2n - 1

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f(10) = 2(10) - 1

f(10) = 20 - 1

f(10) = 19

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.