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I'll make you brainlist if you answer correctly
. If x+4, 2x+5, and 4x+3 represent the first three terms in a sequence, then find the value of x. What is the fourth term?

Respuesta :

Answer:

Value of x = 3 in the given AP sequence.

Fourth term in the sequence is 19.

Step-by-step explanation:

Here, the given sequence is  x+4, 2x+5, and 4x+3

So, the First term a  = x + 4

Second Term b = 2x + 5

Third Term = 4x + 3

Now, as the given sequence is in AP.

⇒ b-a  = c -b = Common Difference

⇒( 2x+5) - (x+4)  = (4x+3) - (2x+5)

or, 2x + 5 - x - 4 = 4x + 3 - 2x -5

or, x + 1  = 2x - 2

or, -x = -3, or x = 3

So, the value of x = 3 in the given AP sequence.

⇒ First term = 3+ 4 = 7

⇒ Second term = 2(3) + 5 = 11

So, the Common Difference =  Second term - First term

                                                 = 11  -  7 = 4

Now, Fourth term in an AP = Third term + Common Difference

                                                  = 4x + 3  + = 4x + 7 = 4(3) + 7  = 19

So, the fourth term in the sequence is 19.

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