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Harman [31]
3 years ago
6

Find the common difference for the sequence below. 1/4, 5/16, 3/8,..

Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

the common difference of the sequence is (\frac{1}{16})

Step-by-step explanation:

A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.

Now, here first term a1 = 1/4

Second term a2 = 5/16

Third term a3 = 3/8

Now, Common difference (d) = a2 - a1 = a3 - a2

Now, a2 - a1 = \frac{5}{16}  - \frac{1}{4}  = \frac{5 - 4}{16}  = \frac{1}{16}

Now, a3 - a2 =  \frac{3}{8}  - \frac{5}{16}  = \frac{6 - 5}{16}  = \frac{1}{16}

Hence, the common difference of the sequence is (\frac{1}{16})

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48c + 12 = 12(_______)
inn [45]

Answer:

\large\boxed{12(4c+1)}

Step-by-step explanation:

How to factor expressions?

Find the G.C.F. and divide it into the terms of the expression you need to factor, like this:

48c+12=12(4c+1)}. So I took the 12 and pulled it out of both terms, obtaining 12(4c+1).

3 0
2 years ago
Simplify the expression -4-6(7-3)
alexandr1967 [171]

-18

1) Distribute the -6 to the parentheses

-4 - (6*7) - (-6*3)

2) Simplify

-4 - 42 + 18

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7 0
3 years ago
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A girl throws a 2 kg rock with a net force of 6 N. What is the acceleration of the rock?
krek1111 [17]
Answer:
acceleration = 3 m/s²

Explanation:
From Newton's second law:
Force = mass * acceleration
We are given that:
Force = 6 Newton
mass = 2  kg

Substitute with the givens in the above equation to get the acceleration as follows:
Force = mass * acceleration
6 = 2 * acceleration
acceleration = 6 / 2 = 3 m/s²

Hope this helps :)

8 0
3 years ago
Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot
Alex777 [14]

Answer:

504 combos

Step-by-step explanation:

Cannot use digits twice and last is '7'

 9 digits for first place choice  

     8 digits for second place

         7 digits for third place

               only  '7' for fourth place       9 x 8 x7 = 504 combos

8 0
2 years ago
What is the solution of the system of equations c + 4d = 8 and c = 4d - 6
Tema [17]
Rewrite the second equation in same form as the first So we have

c + 4d = 8

c - 4d = -6     Now add:-

2c + 0 = 2
2c = 2

c = 1  

Now substitute c = 1 in the first equation:-

1 + 4d = 8
4d = 7

d =  7/4  = 1 3/4

Answer c = 1 and d = 1 3/4  Answer
3 0
3 years ago
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