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Alenkasestr [34]
3 years ago
15

Write the explicit formula for the nth term of the arithmetic sequence 14, 28, 42.56

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

The explicit formula of the given AP is  a(n)  = 7 + 7 n

And the term  a (13)  = 98

Step-by-step explanation:

Here, the given sequence  is :  14, 28 , 42, 56 ,....

First Term (a)  = 14

Second term = 28

Now, the Common difference (d) = Second term - First Term

                                                      = 28 - 14 = 14

Now, the formula for nth term in an AP is :      a(n) = a + (n-1)d

So, here, the nth term of the sequence is given as:

a(n)  = 14  + (n-1) 7  

          = 14 + 7 n - 7 =  7 + 7 n

or, a(n)  = 7 + 7 n ......... (1)

or, The explicit formula of the given AP is  a(n)  = 7 + 7 n

Now, for evaluating a (13) put n = 13 in (1)

⇒ a(13)  = 7 +  7 (13) =  7 + 91  = 98

or, a (13)  = 98

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Answer:

Step 2 contains error in the given problem.

Step-by-step explanation:

Given expression is:

\frac{1}{2}x-3=\frac{1}{3}x+6

Step 1: identifying the LCM.

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This step is correct.

In the next step, we multiply the LCM with each term of the equation.

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7 0
3 years ago
How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution
AveGali [126]

Answer:

One

Step-by-step explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

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6 0
3 years ago
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lesya692 [45]
128, -512, 2048
Multiply by -4 to get each new term
4 0
3 years ago
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