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HACTEHA [7]
3 years ago
14

Fine the 25th term of an arithmetic progression 12,16,20,24,​

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0

Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

a_{25} = 12 + (24 × 4) = 12 + 96 = 108

podryga [215]3 years ago
4 0
108. As you can see, it is going up by 4 each time. So 12 being the 1st term, 16 being the 2nd, and so on. Keep adding 4 until you reach the 25th term, which is 108
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The triangle below is isosceles (two congruent sides). Find the value for x. one side say x + 3.8 and the other says 16 and then
Ugo [173]
The <span>isosceles triangle has two congruent sides

Their lengths are (</span> x + 3.8 ) and  <span>16

Equate them :

x+3.8=16


Solve for x:
3=16-3.8=12.2
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4 0
3 years ago
X^2 + y^2 =-6x-14-6y
skad [1K]

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

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7 0
2 years ago
State 5.126 to two decimal places​
Kryger [21]

Answer:

5.13

Step-by-step explanation:

Look at the number at the end, and if it's 5 or more, round up. the 6 is greater than or equal to 5, so you round up, dropping the six and making the 2 into a 3, giving you 5.13.

7 0
2 years ago
[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
ale4655 [162]

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

n² + 2n - 168 = 0               [<em>subtracting 168 from both sides</em>]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      <em>[factoring out common terms</em>]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

4 0
2 years ago
Lisa has played in six soccer matches. her brother Josh has played 18 soccer matches. Lisa says josh has played in 12 times as m
Tamiku [17]

Answer:

Josh has played in 3 times as many as Lisa has.

Step-by-step explanation:

She mixed up multiplication and addition.

6+12=18

6*3=18

6 0
3 years ago
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