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Olenka [21]
3 years ago
7

SEQUENCES AND SERIES

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

a_n=a_1+(d-1)

and for geometric sequence is

a_n=a1*r^(n-1)

So,

According to given conditions

     a+7d=a*r^5                              (i)\\ a+19d=a*r^7                           (ii)

By dividing equation (i) and (ii)

Hence proved that

r^2=a+19d/a+7d

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Mandy needs to buy 5 work shirts that are all the same price. after she uses a $20 gift certificate, she can spend no more than
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5x<50-20
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x= the cost of the shirts
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4 0
3 years ago
M∠3=<br><br> A) 39<br> B) 78<br> C) 102
katovenus [111]
Hi there!

The answer is C.

Since opposite angles are always the same when a straight transversal line runs through it, these angles are equal.

78° = 78°

Hope this helps!
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I need help ASAP!!!! Please help. I will give brainliest!!!
Sidana [21]
HELLO the answer is 33!!!
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3 years ago
What is 98.43 as a fraction?
Elena L [17]
98.43 = 98 43/100 = (98 * 100 + 43) / 100 = 9843/100
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4 0
3 years ago
Find the distance between (3,-3) and (2,7)
yarga [219]

Answer:

\sqrt{101} = D

Step-by-step explanation:

Method #1

We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:

{a}^{2} + {b}^{2} = {c}^{2}

{1}^{2} + {10}^{2} = {c}^{2}

1 + 100 = {c}^{2}

101 = {c}^{2}

\sqrt{101} = c

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D

[2, 7] [3, −3]

\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D

\sqrt{[-1]^{2} + 10^{2}} = D

\sqrt{1 + 100} = D

\sqrt{101} = D

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

5 0
3 years ago
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