Question

The 10th term of sequnce √3,√12,√27 is

Answer 1

Step-by-step explanation:

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Answer 2

AnsWer:

• 10th term of given AP is 10√3.

Step by step explanation:

Given:

• AP = √3, √12, √27....

To Find:

• 10th term of given AP.

Now, we can write

=> √12 = 2√3

=> √27 = 3√3

Now, AP becomes, √3, 2√3, 3√3....

Now, we will calculate common difference,

=> d = a₂ - a₁

=> d = 2√3 - √3

=> d = √3

Now, we will calculate 10th term of an AP,

=> aₙ = a + (n - 1)d

=> a₁₀ = √3 + (10 - 1)√3

=> a₁₀ = √3 + 9√3

=> a₁₀ = 10√3

Hence, 10th term of given AP is 10√3.