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natali 33 [55]
3 years ago
13

Solve and type in a different form by using the given theorems of logarithms log (10/y)=

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
I think it’s gonna be 1-log(y). You use the quotient rule of logarithms.

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The second term of a GP is 4, the fifth term is 81. Find the seventh term
navik [9.2K]

Answer:

The seventh term of a G.P is

t_{7}  = 33,097.211

Step-by-step explanation:

<u><em>step(i):</em></u><em>-</em>

<em>Given the second term of a G.P is '4'</em>

<em>The general term of nth term is </em>

<em></em>t_{n}  = ar^{n-1}<em></em>

<em></em>t_{4}  = ar^{4-1} =4  

ar^{3} =4 …(i)    

<em>Also Given the fifth term of a G.P is '81'</em>

t_{5}  = ar^{5-1} =81

ar^{4} =81  …(ii)      

<u><em>Step(ii)</em></u>:-

<em>Dividing the equation (ii) divided by (i)</em>

<em />\frac{ar^{4} }{ar^{3} } = \frac{81}{4}<em />

<em>cancellation ' a' and 'r' terms , we get</em>

<em />r = \frac{81}{4}=20.25<em />

<em>substituting 'r' Value in equation (i), we get</em>

<em></em>ar^{3} =4<em></em>

a(\frac{81}{4}) ^{3} =4  

a = \frac{4X4X4X4}{(81)^{3} }= \frac{256}{531,441}

a = 0.00048

<u><em>Step(iii):-</em></u>

<u><em>The seventh term of G.P </em></u>

<em>The general term of nth term is </em>

<em></em>t_{n}  = ar^{n-1}<em></em>

<em></em>t_{7}  = (0.00048)(20.25)^{7-1}<em></em>

<em></em>t_{7}  = (0.00048)(20.25)^{6}= 33,097.211<em></em>

<em></em>

<em></em>

3 0
4 years ago
Explain why the following is a relation<br>​
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3 years ago
The vertices of triangle ABC are A(5,2), B(-1,-6) and C(1,5). If Triangle DEF is similar to Triangle ABC and AB/DE=5, what could
astraxan [27]

Answer:

D(-5,3) and E(-5,1)

Step-by-step explanation:

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|DE|² = (-5+5)² + (3-1)²

|DE|² = 4

|DE| = 2

Verified

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