Question

write the value of x in the A. P. 3,7,11,x,19.....
A) 16
B) 18
C) 15
D) 17
​

Answer 1

Answer:15

Step-by-step explanation:d=4

X=11+4

X=15

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Answer 2

C) 15

The value of 'x' in the given sequence of A.P. is 15.

Step-by-step explanation:

Given:

3,7,11,x,19.....

We need to find the value of x in the given A.P. sequence.

Now Given:

First Term $A_1 = 3$

And Second Term  $A_2 = 7$

Now Formula for AP is given by;

$T_n = a+(n-1)d$

where n ⇒ number of terms

d⇒ common difference.

a⇒ First Term or $A_1$

Now;

d = $A_2-A_1 = 7-3=4$

Also We cans see that 'x' is the 4 term in the sequence.

Hence We can say that;

$T_4 =3+(4-1)4=3+3\times4=3+12=15$

Hence The value of 'x' in the given sequence of A.P. is 15.