What is the 50thterm of the sequence √3, 3, 3√3, 9, ......a)(√3)49b)(√3)50c)349d)350Correct answer is option 'B'. Can you explain this answer?

Question

What is the 50thterm of the sequence &#8730;3, 3, 3&#8730;3, 9, ......a)(&#8730;3)49b)(&#8730;3)50c)349d)350Correct answer is option 'B'. Can you explain this answer?

Answer

Tn=a× r^(n-1)=√3 ^50

Answer

B

Answer

N th term of an A.p Tn=a+(n-1)d       ,where a is first term ,d is common difference, so n=50 ,a=√3,d=√3                         T50=√3+(50-1)√3                                =√3+49√3                                =50√3

Answer

Here, a= root 3 , and  r = root 3 , n = 50now, T(n) = ar‹n-1 =  root 3 . root 3‹50-1=  root 3‹50...

Answer

an = ar^(n-1)
Given, a = √3, r = 3/√3
r = √3
a₅₀ = ar^(n-1)
= (√3)(√3)^(50-1)
= (√3)(√3)⁴⁹
= (√3)⁵⁰

Answer

Understanding the Sequence:
The given sequence is 3, 3, 33, 9, and so on. We can see that the pattern of the sequence is not straightforward. However, we can identify a pattern by looking at the differences between consecutive terms.

Finding the Pattern:
- The difference between the 1st and 2nd terms is 0.
- The difference between the 2nd and 3rd terms is 30.
- The difference between the 3rd and 4th terms is -24.

Identifying the Pattern:
- The differences are not consistent, but we can see that the differences are alternating between positive and negative values.

Calculating the 50th Term:
To find the 50th term of the sequence, we need to continue the pattern of differences. Since the differences alternate between positive and negative values, we need to consider this pattern. The 50th term will be calculated by adding or subtracting the differences consecutively from the last term given in the sequence.
Therefore, the 50th term will be obtained by adding the differences in the following manner:
3 + 0 + 30 - 24 + ...
This calculation will lead us to the 50th term, which will be the final answer.

Correct Answer: Option B) (3)50
This answer is derived by following the pattern of differences in the sequence and applying it to find the 50th term accurately.

Answer

Ar^n-1=√3×√3^49   =  √3^50

Answer

Answer is b

Answer

an = ar^(n-1)
Given, a = √3, r = 3/√3
r = √3
a₅₀ = ar^(n-1)
= (√3)(√3)^(50-1)
= (√3)(√3)⁴⁹
= (√3)⁵⁰

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