What is the fifth term in the arithmetic sequence defined by the explicit formula an=6n−4?

Mathematics

2 answers:

Vesna [10]3 years ago

5 0

The correct answer is 26.i took the test

Juli2301 [7.4K]3 years ago

4 0

In an explicit formula, n represents any term number and a(n) represents the value of the n-th term. Therefore, in order to find the fifth term, we simply solve for a(n) when n = 5. Plugging that value into the equation gives us a(5)=6(5)-4, or a(5) = 26. The fifth term is of the sequence is 26.

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(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool
see the attached figure

Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3

to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

the answer part A) is
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Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is
the scale factor is (3/1)