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Feliz [49]
2 years ago
9

Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5

Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

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Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
then the other number, to be less than 5 when added,
must be
1+x<5
3+x<5
solve each
1+x<5
subtract 1
x<4
set of answers are 1,2,3

3+x<5
subtract 3
x<2
set of answer is 1
so the possible numbers are
1,2,3
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7 0
3 years ago
Nth Term help please
liberstina [14]

\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_1&3\\[0.8em] a_2&\stackrel{3\cdot 2}{6}\\[0.8em] a_3&\stackrel{6\cdot 2}{12}\\[0.8em] a_4&\stackrel{12\cdot 2}{24}\\[0.8em] a_5&\stackrel{24\cdot 2}{48}\\[0.8em] a_6&\stackrel{48\cdot 2}{96} \\ \cline{1-2} \end{array}

8 0
3 years ago
Whats 1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9
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Answer:

90 is your answer

Step-by-step explanation:

first I just added all similar numbers together, then I added the answers of all the similar numbers together one-by-one, finally we find our answer, 90

3 0
3 years ago
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Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

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On subtracting the given equations we have,

\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3

Put this value in any equation , we have ,

\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5

Hence the lines will Intersect at ,

\implies\underline{\underline{ Point=(-1.5, 3)}}

8 0
2 years ago
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polet [3.4K]

Answer:

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Step-by-step explanation:

-3*x

-3*5

7 0
3 years ago
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