Question

the 10th term of the seq^n √3,√12,√27,......​

Answer 1

Step-by-step explanation:

Given the 10th term of the seq^n √3,√12,√27,...

• We need to find the 10th term of the given sequence.
• So we have first term a = √3, d = √12 - √3 = 2√3 - √3 = √3 and n = 10
• Now we have Tn = a + (n – 1)d to find the 10 th term.
•             So    T10 = √3 + (10  - 1)√3
•                             = √3 + 9 √3
•                              = √3 (1 + 9)
•                               = 10 √3
• So the 10th term of the sequence is 10 √3

Reference link will be

https://brainly.in/question/1297580

Answer 2

The 10th term of the sequence √3,√12,√27,... is 10√3

Step-by-step explanation:

The given sequence is:

√3, √12, √27,... = √3, √(3 × 4), √(3 × 9),....

⇒ √3, √12, √27,... = √3, 2√(3), 3√(3),....

The nth term is given by the formula:

Nn = a + (1 - n)d

Where,

a = First term = √3

d = Common difference = 2√3 - √3 = √3

Now, the 10th term is:

N10 = √3 + (1 - 10)√3

N10 = √3 + 9√3

∴ N10 = 10√3