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uranmaximum [27]
3 years ago
11

Find the indicated term of the given geometric sequence a1=-20, r=11, n=12

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

The first term of this sequence is -20, and the common ratio is 11. Thus, the formula for the nth term is

a(n) = a(1)*(11)^(n-1), or (-20)*(11)^(n-1).

Thus, the 12th term is

a(12) = (-20)*(11)^(12-1) = -20(11)^11 = -20(2.85 times 10 to the 11th power.

or ... -5.71 times 10 to the 12th power.

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The <em>correct answer</em> is:


Her number is 7.


Explanation:


Let x represent her number.


She triples her number; this is represented by 3x.


She then adds 5 to this; this gives us 3x+5.


She gets 26 aas her answer. This gives us the equation:

3x+5 = 26


To solve this, first subtract 5 from each side:


3x+5-5 = 26-5

3x = 21


Divide each side by 3:

3x/3 = 21/3

x = 7

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Solve for x.<br><br> Help please
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The triangles are similar by SAS, so we can set up a proportion of their sides.

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