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Delicious77 [7]
2 years ago
13

Prove that the (n+1) term of a G.P of which the first term is a and third term is b,is equal to the (2n+1) term of a G.P of whic

h the first term is a and fifth term is b.
Mathematics
1 answer:
Ahat [919]2 years ago
3 0
Hello,

u_{1} =a\\
 u_{3} =b\\

q= (\dfrac { u_{3} } {u_{1 } }  )^ \frac{1}{2} \\\\\\

=(\dfrac{b}{a}) ^ \frac{1}{2}  \\




 u_{n+1} =a*q^{n}=a* (\dfrac{b}{a}) ^ \dfrac{n}{2} \\


 \\\\\\\\\\\\v_{1} =a\\
 v_{5} =b\\

r= (\dfrac { v_{5} } {v_{1 } }  )^ \frac{1}{4} \\\\\\


 v_{2n+1} =a*r^{2n}\\\\
=a* (\dfrac{b}{a}) ^ \dfrac{2n}{4}\\\\


=a* (\dfrac{b}{a}) ^ \dfrac{n}{2} \\






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2 years ago
Here's a subtraction problem that has been solved incorrectly.
fredd [130]

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3 years ago
Which of these best describes d, the diameter of a circle?
oee [108]

Answer:

B).

Step-by-step explanation:

Answer explantion

A) the ratio of the circumference of the circle to Pi: false

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6 0
2 years ago
Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too
natima [27]

Answer:

∠e = 105° because ∠e and the 105° angle are vertically opposite angles

∠h = 75° because ∠h and the 105° angle are supplementary angles

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles

∠b = 75° because ∠b and ∠f are corresponding angles

∠a = 105° because ∠a and ∠e are corresponding angles

∠d = 75° because ∠d and ∠h are corresponding angles

Step-by-step explanation:

The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines

By sing angle properties, we have;

∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal

∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°

∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles

∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal

Similarly, we have;

∠b = ∠f = 75° because ∠b and ∠f are corresponding angles

∠a = ∠e = 105° because ∠a and ∠e are corresponding angles

∠d = ∠h = 75° because ∠d and ∠h are corresponding angles

6 0
2 years ago
What’s the correct answer for this question?
weqwewe [10]

Answer:

Last answer choice

Step-by-step explanation:

The AAS congruence theorem uses two adjacent angles, followed by a side length on the side (not in between the angles.) Therefore, the first answer is ruled out (because it deals with angles and not sides), and the second answer is ruled out because it involves side lengths between angles. LP=MO may be true, but it does not compare the two triangles that we are interested in. However, the last answer choice is correct, because a midpoint divides a line exactly in half, meaning that both halves are the same length and therefore congruent. Therefore, the last answer choice is correct. Hope this helps!

7 0
3 years ago
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