Find the sum of n terms of the sequence.

Question image

Understand the Problem

The question is asking to calculate the sum of 'n' terms of a given sequence. The specific sequence is not provided in the image, but the request indicates that a formula or mathematical process is needed to solve it.

Answer

The answer cannot be provided without specific sequence details.
Answer for screen readers

The final answer cannot be determined without knowing the specific terms or type of the sequence.

Steps to Solve

  1. Identify the sequence We need to determine the nature of the sequence from the provided information. Since the specific terms of the sequence are not visible, we assume it is a known sequence type (e.g., arithmetic, geometric).

  2. Determine the formula for the sum If it is an arithmetic sequence, the sum of the first $n$ terms can be calculated using the formula: $$ S_n = \frac{n}{2} (a + l) $$ where ( S_n ) is the sum of the first ( n ) terms, ( a ) is the first term, and ( l ) is the last term.

    If it is a geometric sequence, the sum is: $$ S_n = a \frac{1 - r^n}{1 - r} $$ where ( r ) is the common ratio.

  3. Substituting known values Once the correct formula is identified, substitute the values for ( a ), ( l ), ( r ), and ( n ) into the formula.

  4. Calculate the result Perform the calculations for ( S_n ) based on the substituted values to find the sum.

The final answer cannot be determined without knowing the specific terms or type of the sequence.

More Information

The method of calculating the sum of a sequence varies depending on whether it is arithmetic or geometric. Each has a specific formula, and using the correct one will yield the accurate result.

Tips

  • Not identifying the correct type of sequence: Make sure to recognize whether it's arithmetic or geometric.
  • Incorrectly substituting values into the formula: Double-check the values for accuracy before calculation.

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