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vazorg [7]
3 years ago
12

Try your best on math

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

(2) 18 (3) 16 (4) 23

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the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
2 years ago
Complete the equation. ( − 4 ) 2 =
Burka [1]

Answer:

-16

Step-by-step explanation:

multiply 4x4 and then determine if its negative or positive

8 0
3 years ago
Read 2 more answers
Simplify 9y+2y-5y please answer
Brums [2.3K]

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0
3 years ago
Read 2 more answers
What is five squared​
prisoha [69]

Answer:

if you mean cubed its 125 but if you mean squared its 25

Step-by-step explanation:

6 0
3 years ago
Is 445,760 divisible by 6?<br><br> HELP ME PLZ!
aivan3 [116]

Answer:

no because a decimal occurs

Step-by-step explanation:

445,760/6 = 74293.3333333

7 0
2 years ago
Read 2 more answers
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