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BartSMP [9]
3 years ago
5

The answer is b I got it correct

Mathematics
1 answer:
Schach [20]3 years ago
5 0
Ok goodjob lol aaaaaaaaa
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The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8,
Damm [24]

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

3 0
3 years ago
Help me solve the inequality plsss 2/5 x < 10
bixtya [17]

Answer:

x < 25

Step-by-step explanation:

4 0
2 years ago
Kayla won 37 bouncy ball playing hoops at her schools game night then she gave two to each of her friends she only has 7 left ho
Pavel [41]

Answer:

Kayla has 15 friends

Step-by-step explanation:

3 0
3 years ago
Evaluate <br> g(4): g(x)=8x^2+9x-7<br><br> A. 121<br> B. 135<br> C. 154<br> D. 157
inn [45]
The answer is:  [D]:  " 157" .
________________________________________________________
Explanation:
______________________________________________________

 g(x) = 8x² + 9x − 7 ;

 g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
        = 8(4*4) + 36 <span>− 7 ;
</span>
        = 8(16) + 36 <span>− 7 ;
</span>
        = 128 + 36 <span>− 7 ;
</span>
        = 164 − 7 ;

       =  <span>157 .</span>
_______________________________________________________
The answer is:  [D]:  " 157" .
_______________________________________________________
7 0
3 years ago
What is an adaptation?<br><br> I put math but its science
Verdich [7]

Answer:

A change in a species that helps it survive

Step-by-step explanation:

i took life science in 7th grade, and another word for this is a mutation (kinda... pls dont make me go there...)

6 0
3 years ago
Read 2 more answers
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