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Find the sum of the first 5 terms of the series 1, 4, 9, 16, ...

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Question: Find the sum of the first 5 terms of the series 1, 4, 9, 16, ...

Options:

  1. 30
  2. 31
  3. 32
  4. 33

Correct Answer: 31

Solution: 

The series is the sum of squares: 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 1 + 4 + 9 + 16 + 25 = 55.

Find the sum of the first 5 terms of the series 1, 4, 9, 16, ...

Practice Questions

Q1
Find the sum of the first 5 terms of the series 1, 4, 9, 16, ...
  1. 30
  2. 31
  3. 32
  4. 33

Questions & Step-by-Step Solutions

Find the sum of the first 5 terms of the series 1, 4, 9, 16, ...
  • Step 1: Identify the series. The series is 1, 4, 9, 16, ...
  • Step 2: Recognize that these numbers are the squares of the first 5 natural numbers: 1^2, 2^2, 3^2, 4^2, 5^2.
  • Step 3: Write down the squares: 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25.
  • Step 4: Add these squares together: 1 + 4 + 9 + 16 + 25.
  • Step 5: Calculate the sum: 1 + 4 = 5, then 5 + 9 = 14, then 14 + 16 = 30, and finally 30 + 25 = 55.
  • Sum of Squares – The series consists of the squares of the first natural numbers, and the task is to find their sum.
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