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spin [16.1K]
2 years ago
6

Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.

Mathematics
2 answers:
dusya [7]2 years ago
8 0

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.


For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.


Simplify by evaluating the coefficients and powers of 3.

GenaCL600 [577]2 years ago
8 0

Answer:

1)To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

2)For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

3)Simplify by evaluating the coefficients and powers of 3.

Step-by-step explanation:

Choose any answer above; either way there all correct

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Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500500500 leaves
VARVARA [1.3K]

Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?

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The number of leaves was 40% more than the year before.

So rate of increase is 40/100 = 0.4

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