Evaluate |-a^2|, given a = 5, b = -3, and c = -2.
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Note the common ratio r between consecutive terms of the sequence
r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
The explicit rule for a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2, thus
= 3
← explicit rule
By definition we have that the binomial expansion theorem is given by:
(see attached image)
From here, we must replace the values of k and n correctly.
We have a binomial of the form:
Therefore, the value of n is given by:
We have the following term:
Therefore, the value of k is given by:
Substituting values and calculating (see attached image), we have that the value of the coefficient is given by:
Thus,
Answer:
The value of the coefficient for the term x^7y is 8.
