Question

If 2 ,P,26 Are In Ap,Then The Value Of P Is

Answer 1

Answer:

P = 14

Step-by-step explanation:

Given Arithmetic Progression sequence

2 , P , 26 ,. ....

To Find : Value of P

Solution :

Since common difference remains same for all the terms

then,

common difference = nth term - ( n + 1 ) th term

                                 P - 2 = 26 - P

                                 P + P = 26 + 2

                                 2 P = 28

                                     P = 28/2

                                     P = 14

Hence P = 14

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Answer 2

Answer:

The value of P is 14.

Step-by-step explanation:

Arithmetic progression:-

• A sequence in which the differences between every two consecutive terms is same.
• The common difference = nth term - (n + 1)th term

Step 1 of 1

It is given that the sequence 2, P, 26 is AP (Arithmetic progression)

So, the first term = 2

The second term = P

And the third term = 26

Now,

The common difference between the 2nd term and the 1st term is,

= P - 2

Similarly,

The common difference between the 3rd term and the 2nd term is,

= 26 - P

Since the common difference between the consecutive terms are equal.

⇒ P - 2 =26 - P

⇒ P + P = 26 + 2

⇒ 2P = 28

⇒ P = 14

Therefore, the value of P is 14.

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