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eduard
4 years ago
12

For the following geometric sequence find the explicit formula {1,-3,9,...}

Mathematics
2 answers:
garik1379 [7]4 years ago
6 0

Answer:

a_n=1\cdot (-3)^{(n-1)}

Step-by-step explanation:

We have been given a geometric sequence and we are asked to find the explicit formula for our given sequence.

The explicit formula of geometric sequence is in form: a_n=a_1\cdot r^{(n-1)}, where,

a_n=\text{nth term of sequence},

a_1=\text{1st term of sequence},

r=\text{Common ratio},

n=\text{Number of term}.

First of all, let us find common ratio of our given sequence by dividing one term by its previous term.

r=\frac{-3}{1}=-3

We can see that 1st term of our given sequence is 1. Upon substituting our given values in explicit form of geometric sequence we will get,

a_n=1\cdot (-3)^{(n-1)}

Therefore, the explicit formula for our given sequence is a_n=1\cdot (-3)^{(n-1)}.

Zarrin [17]4 years ago
3 0
The first term of this series (a+1) is 1 and the common ratio (r) is -3.

Thus, the explicit formula is a_n = 1*(-3)^(n-1).

Must check this!  suppose we try to calculate the 3rd term.  Then n = 3.

a_3 = 1*(-3)^(3-1) = (-3)^2 = 9.  This is correct.
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the ratio of boys to girls in a homeroom at berkmar middle school is 3;4 if there are 12 boys how many girls are in homeroom
REY [17]

Answer:

16 girls

Step-by-step explanation:

If you have 12 boys, and the ratio is 3;4, that means you multiplied 3 times 4. To find the answer to this problem, you need to multiply 4 by 4 because you multiplied 3 by 4, and you always have to multiply or divide by the same thing if its a ratio.

3 0
3 years ago
Determine whether the vectors u and v are parallel, orthogonal, or neither.
Radda [10]
To check if two vectors are orthogonal(perpendicular), simply check their dot product, if their dot product is 0, then they're perpendicular, let's check.

\bf \ \textless \ 7,-4\ \textgreater \ \cdot \ \textless \ -28,16\ \textgreater \ \implies (7\cdot -28)+(-4\cdot 16)\implies -196-64
\\\\\\
\boxed{-264}\impliedby \textit{nope, no orthogonal}

to check if two vectors are parallel, simply check their slope by doing a b/a check, if the slopes are the same, then they're indeed parallel to each other, let's check.

\bf \textit{slope of \underline{u} }\cfrac{7}{-4}\implies \boxed{-\cfrac{7}{4}}\qquad \qquad \textit{slope of \underline{v} }\cfrac{-28}{16}\implies \boxed{-\cfrac{7}{4}}

well, there you have it, the slopes are the same.
4 0
4 years ago
What would eNotes be most helpful for?
Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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3 years ago
16) -10m + 3(8 + 8m)=-6(n-4)​
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Answer:

Step-by-step explanation:

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3 years ago
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