Question

write the next term of AP , 3, 3+√2,3+2√2,3+3√2....​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

ANSWER:

Given:

• AP = 3, 3+√2, 3+2√2, 3+3√2

To Find:

• Next term of the AP

Solution:

We are given that, the AP is:

⇒ AP = 3, 3+√2, 3+2√2, 3+3√2

We know that, in an AP,

⇒ a2 - a1 = a3 - a2. . . . . = d(common difference)

So, the common difference is,

⇒ a2 - a1 = 3+√2 - 3

⇒ d = √2

Now,

We will add the common difference to the last given term so as to find the next term in the series.

Hence,

⇒ Next term = 3+3√2 + √2

⇒ Next term = 3 + 4√2

Therefore, the next term of the AP is 3 + 4√2.

Learn More:

• General term of AP = a + (n - 1)d
• Sum of n terms of AP = Sn = n/2(2a + (n - 1)d)