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2 years ago

The 3rd term in a geometric sequence is 40. The 5th term is 10. What are the possible values of the 4th term?

1 answer:

5 0

To answer, we let x be the 4th term. We use the concept of geometric mean in order to answer this question. The ratio of the fourth term and the third term is equal to the ratio of the fifth term and the fourth term. That is,
x/40 = 10/x
The values of x from the equation are 20 and -20.

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Greatest common factor of 3 and 2

Andreas93 [3]

Gcd(3,2)=1 Hope this helps!!

(The answer is 1)

4 0

3 years ago

Read 2 more answers

(3m±4/5n)2 solve this question

sukhopar [10]

Answer:

(3m-4/5)2

Final result :

(15m - 4)2

——————————

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

(3m - —)2

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

3m 3m • 5

3m = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4) 15m - 4

———————————— = ———————

5 5

Equation at the end of step 2 :

(15m - 4)

(—————————)2

Step 3 :

Final result :

(15m - 4)2

———

Step-by-step explanation:

5 0

2 years ago

6 (x - 5 ) - 4x = 3(4x - 5) help asapppl

marishachu [46]

Answer :

Step by Step Explanation :
1. 6x - 30 - 4x = 12x - 15
2. 2x - 30 = 12x - 15
3. -10x - 30 = -15
4. -10x = 15
5. x = -10/15
6. x = -2/3 (simplified)

3 0

3 years ago

What is the product of x+2 and x-7? Write your answer in standard form.

Leto [7]

X^2-5x-14
It is the correct answer I think

5 0

3 years ago

Solve the inequality -10w _< 20

Dvinal [7]

Step-by-step explanation:

-10w< 20
w< 20/-10
w< -2

hope it helps

<h2>stay safe healthy and happy...</h2>

8 0

2 years ago