Question

The next term of an AP √7,√28,√63,.......is

Answer 1

Answer:

The next term of the AP will be √112.

Step-by-step explanation:

Given:

The Arithmetic Progression is: √7,√28,√63

The first term of the AP(a) = √7

The common difference of the AP(d) = a3 - a2

=>3√7-2√7

=√7

Therefore, the common difference of the given AP is √7

We are given three terms of the AP now we have to find the fourth term of the given Arithmetic Progression.

We can find the fourth term of the AP by using the formula:

an = a +(n-1)d

an = a + (4-1)d

an = a + 3d

We know the value of a and d we can substitute these values in the given equation we found out. By doing this we get:

=> √7 + 3√7

=> 4√7

=> √4 * 4 * 7 (As 4 is outside the bracket we have to multiply it twice.)

=> √16 * 7

=> √112

Therefore, the next term of the AP will be √112.

Answer 2

Answer:

The next term of an AP is √112.

Step-by-step explanation:

As per the data given in the question

We have to calculate the next term of an AP.

As per the question it is given that √7,√28,√63,.......

The first term of the AP is  = √7

Let us assume that First term = a

The common difference of the AP denoted as (d) = $a_{3}-a_{2}$

⇒3√7-2√7

⇒√7

The common difference of the given AP is √7.

We have given three terms of the AP and now we have to find the fourth term of AP.

We can find the fourth term of the AP by using the formula:

then $a_{n}=a+(n-1)d$

⇒ $a_{n}=a+(4-1)d$

⇒$a_{n}=a+3d$

As we know the value of a and d we can put these values in the given equation we get:

$a_{n}$=√7 + 3√7=4√7

or √112

Hence, the next term of an AP is √112.

For such type of question:

https://brainly.in/question/4806269

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